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Bogolyubov (Jr.), Nikolai Nikolaevich

Total publications: 241 (235)
in MathSciNet: 147 (142)
in zbMATH: 50 (49)
in Web of Science: 83 (83)
in Scopus: 106 (106)
Cited articles: 94
Citations: 515

Number of views:
This page:8292
Abstract pages:21351
Full texts:7112
References:2355
Corresponding member of RAS
Doctor of physico-mathematical sciences (1971)
Birth date: 7.03.1940
E-mail: ,
UDC: 531.19, 536.75, 517, 535.3, 539.120.1

https://www.mathnet.ru/eng/person20232
https://ru.wikipedia.org/wiki/Bogolyubov,_Nikolai_Nikolaevich_(mladshii)
List of publications on Google Scholar
https://zbmath.org/authors/ai:bogolyubov.nikolai-n-jun
https://mathscinet.ams.org/mathscinet/MRAuthorID/189291
https://elibrary.ru/author_items.asp?authorid=107905
https://www.scopus.com/authid/detail.url?authorId=35358534600
https://www.researchgate.net/profile/Nikolai_Bogolubov

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)
1. N. N. Bogolubov (Jr.), “On model dynamical systems in statistical mechanics”, Physica, 32:5 (1966), 933–944  crossref  mathscinet  adsnasa  elib  scopus 69
2. N. N. Bogolyubov (Jr.), M. Yu. Kovalevskiĭ, A. M. Kurbatov, S. V. Peletminskiĭ, A. N. Tarasov, “On the microscopic theory of superfluid liquids”, Soviet Phys. Uspekhi, 32:12 (1989), 1041–1059  mathnet  crossref  crossref  mathscinet  adsnasa  scopus
3. N. N. Bogolubov (Jr.), Fam Le Kien, A. S. Shumovsky, “On the exactly soluble model in quantum electrodynamics”, J. Phys. A, 19:2 (1986), 191–203  crossref  mathscinet  adsnasa  isi  scopus 20
4. N. N. Bogolubov (Jr.), Fam Le Kien, A. S. Shumovsky, “Photon statistics and atomic dynamics in a three-level plus two-mode model”, Phys. Lett. A, 107:9 (1985), 456–460  crossref  mathscinet  adsnasa  isi  elib  scopus 18
5. N. N. Bogolyubov (Jr.), I. G. Brankov, V. A. Zagrebnov, A. M. Kurbatov, N. S. Tonchev, “Some classes of exactly soluble models of problems in quantum statistical mechanics: the method of the approximating Hamiltonian”, Russian Math. Surveys, 39:6 (1984), 1–50  mathnet  crossref  mathscinet  adsnasa  adsnasa  isi  scopus
6. N. N. Bogolubov (Jr.), V. N. Plechko, “A class of exactly soluble many-body Hamiltonians with the interaction of substance and boson field”, Phys. A, 82:2 (1975), 163–194  crossref  mathscinet  scopus 16
7. N. N. Bogolubov (Jr.), E. K. Bashkirov, Fam Le Kien, A. S. Shumovsky, “Superradiance allowing for the pumping processes”, Phys. A, 133:3 (1985), 413–424  crossref  mathscinet  isi  elib  scopus 14
8. D. Blackmore, Y. A. Prykarpatsky, N. N. Bogolubov, Jr., A. K. Prykarpatskiy, “Integrability of and differential-algebraic structures for spatially 1D hydrodynamical syastems of Riemann type”, Chaos Solitons Fractals, 59 (2014), 59–81  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 13
9. N. N. Bogolyubov (Jr.), Fam Le Kien, A. S. Shumovskii, “Kinetic equation for a two-level system interacting with the electromagnetic field”, Theoret. and Math. Phys., 52:3 (1982), 893–898  mathnet  crossref  mathscinet  adsnasa  isi  scopus
10. N. N. Bogolyubov (Jr.), “Kinetic equation of a dynamical system interacting with a phonon field”, Theoret. and Math. Phys., 40:1 (1979), 612–622  mathnet  crossref  mathscinet  adsnasa  isi  scopus
11. N. N. Bogolyubov (Jr.), A. K. Prikarpatskii, U. Taneri, “The vacuum structure, special relativity theory, and quantum mechanics: A return to the field theory approach without geometry”, Theoret. and Math. Phys., 160:2 (2009), 1079–1095  mathnet  crossref  crossref  mathscinet  adsnasa  isi
12. N. N. Bogolyubov (Jr.), A. K. Prikarpatskii, “Complete integrability of the nonlinear ito and Benney–Kaup systems: Gradient algorithm and lax representation”, Theoret. and Math. Phys., 67:3 (1986), 586–596  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
13. N. N. Bogolubov (Jr.), Le Kien Fam, A. S. Shumovsky, “On the kinetics of Dicke-type systems”, Phys. A, 128:1–2 (1984), 82–98  crossref  mathscinet  isi  elib  scopus 10
14. N. N. Bogolyubov (Jr.), D. P. Sankovich, “N. N. Bogolyubov and statistical mechanics”, Russian Math. Surveys, 49:5 (1994), 19–49  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
15. N. N. Bogolyubov (Jr.), A. K. Prikarpatskii, V. G. Samoilenko, “Discrete periodic problem for the modified nonlinear Korteweg–de Vries equation”, Theoret. and Math. Phys., 50:1 (1982), 75–81  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
16. N. N. Bogolubov (Jr.), A. K. Prykarpatsky, Taneri U., Y. A. Prykarpatsky, “The electromagnetic Lorentz condition problem and symplectic properties of Maxwell- and Yang-Mills-type dynamical systems”, J. Phys. A, 42:16 (2009), 165401 , 16 pp.  crossref  mathscinet  zmath  adsnasa  isi  scopus 7
17. A. Prykarpatsky, D. Blackmore, N. N. Bogoliubov (Jr.), “Hamiltonian structure of Benney type hydrodynamic and Boltzmann–Vlasov kinetic equations on an axis and some applications to manufacturing science”, Open Syst. Inf. Dyn., 6:4 (1999), 335–373  crossref  mathscinet  zmath  scopus 7
18. N. N. Bogolyubov (Jr.), “Construction of limiting relations for many-time averages”, Theoret. and Math. Phys., 4:3 (1970), 929–935  mathnet  crossref  mathscinet  zmath  adsnasa  scopus
19. N. N. Bogolyubov (Jr.), A. V. Soldatov, “Fluorescence in a Quantum System with Violated Symmetry”, Moscow University Physics Bulletin, 73:2 (2018), 154–161  mathnet  crossref  adsnasa  isi  elib  scopus
20. N. N. Bogolubov, Jr., A. K. Prykarpatsky, “The analysis of Lagrangian and Hamiltonian properties of the classical relativistic electrodynamics models and their quantization”, Found. Phys., 40:5 (2010), 469–493  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 6
21. V. Novikov, S. Kruchinin, N. N. Bogolubov (Jr.), S. Adamenko, “Self organization and nonequilibrium structure in the phase space”, Int. J. Mod. Phys. B, 22:13 (2008), 2025–2045  crossref  zmath  adsnasa  isi  elib  scopus 6
22. N. N. Bogolyubov (Jr.), A. S. Shumovskii, V. I. Yukalov, “The concept of quasiaverages and spaces of states”, Theoret. and Math. Phys., 60:3 (1984), 921–931  mathnet  crossref  mathscinet  adsnasa  isi  scopus
23. N. N. Bogolyubov (Jr.), Fam Le Kien, A. S. Shumovskii, “Dynamics of a two-level system and estimate of the relaxation time”, Theoret. and Math. Phys., 53:1 (1982), 1014–1018  mathnet  crossref  mathscinet  adsnasa  isi  scopus
24. N. N. Bogolubov (Jr.), “On analyticity properties of the configurational integral in statistical mechanics”, Physica, 41:4 (1969), 601–621  crossref  mathscinet  zmath  adsnasa  scopus 6
25. A. K. Prykarpatsky, N. N. Bogolubov Jr., “The Maxwell electromagnetic equations and the Lorentz type force derivation-the Feynman approach legacy”, Int. J. Theor. Phys., 51:1 (2012), 237–245  mathnet  crossref  zmath  adsnasa  isi  elib  scopus 5
26. Ya. A. Prykarpatsky, N. N. Bogolubov Jr., A. K. Prykarpatsky, V. H. Samoylenko, “On the complete integrability of nonlinear dynamical systems on functional manifolds within the gradient-holonomic approach”, Rep. Math. Phys., 68:3 (2011), 289–318  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 5
27. N. N. Bogolubov (Jr.), A. K. Prykarpatsky, U. Taneri, “The relativistic electrodynamics least action principles revisited: new charged point particle and hadronic string models analysis”, Internat. J. Theoret. Phys., 49:4 (2010), 798–820  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 5
28. N. N. Bogolyubov (Jr.), A. K. Prikarpatskiĭ, “A bilocal periodic problem for Sturm–Liouville and Dirac operators, and some applications in the theory of nonlinear dynamical systems. I”, Ukrainian Math. J., 42:6 (1990), 702–707  crossref  mathscinet  zmath  scopus
29. N. N. Bogolyubov (Jr.), D. P. Sankovich, “Gaussian domination: quantum nonlinear oscillator”, Phys. Lett. A, 137:4–5 (1989), 179–182  crossref  mathscinet  adsnasa  isi  elib  scopus 5
30. N. N. Bogolubov, N. N. Bogolubov (Jr.), Some aspects of polaron theory, World Sci. Lecture Notes Phys., 4, World Sci. Publ., Singapore, 1988 , viii+122 pp.  crossref  mathscinet 5
31. N. N. Bogolyubov (Jr.), A. K. Prikarpatskii, A. M. Kurbatov, V. G. Samoilenko, “Nonlinear model of Schrödinger type: Conservation laws, Hamiltonian structure, and complete integrability”, Theoret. and Math. Phys., 65:2 (1985), 1154–1164  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
32. E. K. Bashkirov, N. N. Bogolyubov (Jr.), A. S. Shumovskii, “Estimate of the conversion time in macroscopic two-level systems”, Theoret. and Math. Phys., 56:3 (1983), 897–903  mathnet  crossref  adsnasa  isi  scopus
33. N. N. Bogolyubov (Jr.), A. V. Soldatov, “EM Field Frequency Down-Conversion in a Quantum Two-Level System Damped by Squeezed Vacuum Reservoir”, Phys. Part. Nucl., 51:4 (2020), 762–765  mathnet  crossref  isi  elib  scopus
34. N. N. Bogolubov, Jr, A. K. Prykarpatski, D. Blackmore, “Maxwell–Lorentz electrodinamics revisited via the Lagrangian formalism and Feynman proper time paradigm”, Mathematics, 3:2 (2015), 190–257  mathnet  crossref  mathscinet  zmath  zmath  isi  scopus 4
35. N. N. Bogolyubov (Jr.), M. Yu. Rasulova, I. A. Tishabaev, “Statistical approach to the Jaynes–Cummings model”, Theoret. and Math. Phys., 171:1 (2012), 523–530  mathnet  crossref  crossref  mathscinet  mathscinet  adsnasa  isi  elib  elib  scopus
36. A. K. Prykarpatsky, N. N. Bogolubov (Jr.), J. Golenia, U. Taneri, “Introductive backgrounds to modern quantum mathematics with application to nonlinear dynamical systems”, Internat. J. Theoret. Phys., 47:11 (2008), 2882–2897  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 4
37. J. Seke, A. V. Soldatov, N. N. Bogolubov (Jr.), “A new technique for the construction of effective Hamiltonians”, Phys. Lett. A, 236:5–6 (1997), 361–372  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 4
38. N. N. Bogolyubov (Jr.), A. K. Prikarpatskii, “Quantum current lie algebra as the universal algebraic structure of the symmetries of completely integrable nonlinear dynamical systems of theoretical and mathematical physics”, Theoret. and Math. Phys., 75:1 (1988), 329–339  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
39. N. N. Bogolyubov (Jr.), A. N. Kireev, A. M. Kurbatov, “Method of time-ordered products in polaron theory”, Theoret. and Math. Phys., 67:1 (1986), 394–403  mathnet  crossref  mathscinet  adsnasa  isi  scopus
40. N. N. Bogolyubov (Jr.), V. N. Plechko, “Perturbation theory in the polaron model at finite temperature”, Theoret. and Math. Phys., 65:3 (1985), 1255–1263  mathnet  crossref  adsnasa  isi  scopus
41. N. N. Bogolubov (Jr.), A. N. Ermilov, A. M. Kurbatov, “On coexistence of superconductivity and ferromagnetism”, Phys. A, 101:2-3 (1980), 613–628  crossref  mathscinet  isi  elib  scopus 4
42. N. N. Bogolyubov, N. N. Bogolyubov (Jr.), “Generalized kinetic equation for a dynamical system interacting with a phonon field”, Theoret. and Math. Phys., 43:1 (1980), 283–292  mathnet  crossref  mathscinet  adsnasa  isi  scopus
43. N. N. Bogolyubov (Jr.), D. Ya. Petrina, “On a class of model systems that admit a lowering of powers in the Hamiltonian in the thermodynamic limit. I”, Theoret. and Math. Phys., 33:2 (1977), 990–999  mathnet  crossref  mathscinet  adsnasa  scopus
44. N. N. Bogoljubov (Jr.), V. N. Plečko, “The computation of quasimeans for multifrequency systems that interact with a boson field”, Dokl. Akad. Nauk SSSR, 228:5 (1976), 1061–1064  mathnet  mathscinet  mathscinet 4
45. N. N. Bogolyubov (Jr.), A. G. Shumovskaya, A. S. Shumovskii, “Generalization of the minimax principle for model quasispin problems”, Theoret. and Math. Phys., 21:2 (1974), 1125–1130  mathnet  crossref  mathscinet  adsnasa  scopus
46. N. N. Bogolyubov (Jr.), “New method of defining quasiaverages”, Theoret. and Math. Phys., 5:1 (1970), 1038–1046  mathnet  crossref  mathscinet  adsnasa  scopus
47. A. K. Prykarpatsky, N. N. Bogolubov, Jr., “On the classical Maxwell–Lorentz Electrodynamics, the electron inertia problem, and the feynman proper time paradigm”, Ukr. J. Phys., 61:3 (2016), 187–212  mathnet  crossref  mathscinet  isi  elib  scopus 3
48. N. N. Bogolubov Jr., A. V. Soldatov, S. P. Kruchinin, “The theory of quantum dots in external magnetic field”, Quantum Matter, 4:4 (2015), 352–357  mathnet  crossref  mathscinet 3
49. N. N. Bogolyubov Jr., D. A. Demyanenko, M. Y. Kovalevsky, N. N. Chekanova, “Quasiaverages and classification of equilibrium states of condensed media with spontaneously broken symmetry”, Physics of Atomic Nuclei, 72:5 (2009), 761–767  crossref  adsnasa  isi  scopus 3
50. N. N. Bogolubov (Jr.), A. V. Soldatov, “Hartree–Fock–Bogolubov approximation in the models with general four-fermion interaction”, Internat. J. Modern Phys. B, 10:5 (1996), 579–597  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 3
51. N. N. Bogolubov (Jr.), M. Corgini, D. P. Sankovich, “Model of the lattice boson gas: $\rho$-condensation”, Modern Phys. Lett. B, 6:4 (1992), 215–220  crossref  mathscinet  adsnasa 3
52. N. N. Bogolyubov (Jr.), A. A. Moldoyarov, Fam Le Kien, A. S. Shumovskii, “Behavior of a superradiance pulse with allowance for inhomogeneous line broadening”, Theoret. and Math. Phys., 68:3 (1986), 940–948  mathnet  crossref  adsnasa  isi  scopus
53. N. N. Bogolyubov (Jr.), Fam Le Kien, A. S. Shumovskii, “Dynamics of many-photon processes in two-level systems”, Theoret. and Math. Phys., 62:3 (1985), 308–316  mathnet  crossref  mathscinet  adsnasa  isi  scopus
54. N. N. Bogolyubov (Jr.), A. R. Kazaryan, A. M. Kurbatov, V. N. Neskoromnyi, “Green's functions in the dicke model. I. Evolution equation”, Theoret. and Math. Phys., 54:1 (1983), 93–97  mathnet  crossref  mathscinet  adsnasa  isi  scopus
55. N. N. Bogolyubov (Jr.), A. S. Shumovskii, “On a method of computing quasimeans”, International Conference on Mathematical Problems of Quantum Field Theory and Quantum Statistics. Part II. Fields and Particles. Mathematical Questions of Quant, Collection of talks (Moscow, 12–17 December, 1972), Trudy Mat. Inst. Steklov., 136, 1975, 351–361  mathnet  mathscinet
56. N. N. Bogolyubov (Jr.), V. N. Plechko, N. F. Repnikov, “Majorizing estimates in the method of approximating (trial) Hamiltonians”, Theoret. and Math. Phys., 24:3 (1975), 886–894  mathnet  crossref  mathscinet  adsnasa  scopus
57. N. N. Bogolubov (Jr.), “Method of calculating quasiaverages”, J. Mathematical Phys., 14 (1973), 79–83  crossref  mathscinet  adsnasa  scopus 3
58. N. N. Bogolyubov (Jr.), A. V. Soldatov, “Probe-absorption spectrum of a polar quantum emitter in a squeezed finite-bandwidth vacuum”, Phys. Part. Nucl. Lett., 19:1 (2022), 58–65  mathnet  crossref  isi  scopus; 2
59. S. Abdel-Khalek, E. M. Khalil, Beida Alsubei, N. N. Bogolyubov (Jr.), M. Yu. Rasulova, “Entangled Pair of the $su(1)$ Quantum Systems Interecting with two two-level Atoms”, J. Russian Laser Research, 41:1 (2020), 30–39  mathnet  crossref  isi  scopus; 2
60. N. N. Bogolyubov (Jr.), A. V. Soldatov, “Electromagnetic radiation amplification by means of a driven two-level system damped by broadband squeezed vacuum reservoir”, International Interdisciplinary Scientific Conference “Advanced Element Base of Micro- and Nano-Electronics” 2020 20-23 April 2020, Moscow, Russian Federation, JPCS, 1560, 2020, 12001 , 9 pp.  mathnet  crossref  scopus; 2
61. Nikolai (Jr) Bogolubov, Mukhayo Rasulova, “The Cauchy Problem for the Hierarchy of Quantum Kinetic Equations for Correlation Matrices with Coulomb Potential”, Appl. Math. Inf. Sci., 10:6 (2016), 2365–2371  mathnet  crossref  mathscinet  elib  scopus 2
62. A. K. Prykarpatsky, N. N. Bogolubov (Jr.), J. Golenia, “A symplectic generalization of the Peradzyński helicity theorem and some applications”, Internat. J. Theoret. Phys., 47:7 (2008), 1919–1928  crossref  mathscinet  adsnasa  isi  elib  scopus 2
63. N. N. Bogolubov (Jr.), D. P. Sankovich, “Upper bound on the two-point correlation function of a system of coupled anharmonic oscillators”, Modern Phys. Lett. B, 5:1 (1991), 51–56  crossref  mathscinet  adsnasa 2
64. A. A. Bakasov, N. N. Bogolyubov (Jr.), A. S. Shumovskii, V. I. Yukalov, “Kinetics of two-photon superradiance in the case of damped polarization”, Theoret. and Math. Phys., 72:3 (1987), 987–998  mathnet  crossref  adsnasa  isi  scopus
65. N. N. Bogolyubov (Jr.), A. K. Prikarpatskiĭ, V. G. Samoĭlenko, “N. N. Bogolyubov's functional equation and the Lie–Poisson–Vlasov symplectic structure associated with it”, Ukrain. Mat. Zh., 38:6 (1986), 774–778  crossref  mathscinet  zmath  scopus 2
66. N. N. Bogolyubov (Jr.), A. K. Prikarpatskiĭ, “N. N. Bogolyubov's quantum method of generating functionals in statistical physics: current Lie algebra, its representations and functional equations”, Ukrain. Mat. Zh., 38:3 (1986), 284–289  crossref  mathscinet  scopus 2
67. A. P. Bakulev, N. N. Bogoljubov (Jr.), A. M. Kurbatov, “Rigorous results in the theory of superconductivity with Coulomb-like repulsion”, Phys. A, 134:2 (1986), 359–376  crossref  mathscinet  isi  scopus 2
68. N. N. Bogolyubov (Jr.), A. K. Prikarpatskii, “Bogolyubov generating functional method in statistical mechanics and the analog of the transformation to collective variables”, Theoret. and Math. Phys., 66:3 (1986), 305–317  mathnet  crossref  mathscinet  adsnasa  isi  scopus
69. N. N. Bogolubov (Jr.), A. N. Ermilov, A. M. Kurbatov, P. I. Pronin, “Free energy and ordering in random quenched Potts model”, Phys. A, 133:3 (1985), 425–441  crossref  mathscinet  isi  elib  scopus 2
70. N. N. Bogolyubov (Jr.), Fam Le Kien, A. S. Shumovskii, “Intensity of superradiant generation in two-level systems”, Theoret. and Math. Phys., 60:2 (1984), 803–808  mathnet  crossref  mathscinet  adsnasa  isi  scopus
71. N. N. Bogolyubov (Jr.), A. R. Kazaryan, A. M. Kurbatov, V. N. Neskoromnyi, “Green's functions in the Dicke model. II. Superradiant state”, Theoret. and Math. Phys., 59:2 (1984), 483–491  mathnet  crossref  mathscinet  adsnasa  isi  scopus
72. N. N. Bogolyubov (Jr.), A. K. Prikarpatskiĭ, “An inverse periodic problem for discrete approximation of the nonlinear Schrödinger equation”, Dokl. Akad. Nauk SSSR, 262:5 (1982), 1103–1108  mathnet  mathscinet  zmath  isi 2
73. N. N. Bogolyubov (Jr.), D. Ya. Petrina, “On a class of model systems that admit a lowering of powers in the Hamiltonian in the thermodynamic limit. II”, Theoret. and Math. Phys., 37:2 (1978), 998–1005  mathnet  crossref  mathscinet  adsnasa  scopus
74. N. N. Bogolyubov (Jr.), V. V. Kamaeva, V. N. Plechko, “Dynamical structure factor and Green's functions for classical systems”, Theoret. and Math. Phys., 32:1 (1977), 595–602  mathnet  crossref  mathscinet  adsnasa  scopus
75. N. N. Bogolyubov (Jr.), A. G. Shumovskaya, A. S. Shumovskii, “Limit relations for model systems in the case of a degenerate state of statistical equilibrium”, Theoret. and Math. Phys., 29:3 (1976), 1143–1147  mathnet  crossref  mathscinet  adsnasa  scopus
76. N. N. Bogolyubov (Jr.), “On a method of calculating correlation functions”, Theoret. and Math. Phys., 13:1 (1972), 1032–1038  mathnet  crossref  adsnasa  scopus
77. N. N. Bogolyubov (Jr.), A. V. Soldatov, “Low-frequency fluorescence spectrum of a laser driven polar quantum emitter damped by squeezed vacuum with finite bandwidth”, JPCS, 2056, 2021, 12001 , 8 pp.  mathnet  crossref  scopus; 1
78. N. N. Bogolyubov (Jr.), D. Prorok, A. K. Prikarpatskii, “Integrability Aspects of the Current Algebra Representation and the Factorized Quantum Nonlinear Schrödinger Type Dynamical Systems”, Phys. Part. Nucl., 51:4 (2020), 434–442  mathnet  crossref  isi  elib  scopus
79. N. N. Bogolyubov (Jr.), A. V. Glushchenko, M. Yu. Kovalevsky, “Quasiaverages and degenerate quantum equilibriums of magnetic systems with $SU(3)$ symmetry of the exchange interaction”, Theoret. and Math. Phys., 195:2 (2018), 704–717  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
80. N. N. Bogolyubov (Jr.), M. Yu. Rasulova, U. A. Avazov, “Evolution of a quantum system of many particles interacting via the generalized Yukawa potential”, Theoret. and Math. Phys., 189:3 (2016), 1790–1795  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib  scopus
81. N. N. Bogolubov Jr., A. V. Soldatov, “Variational master equation approach to dynamics of magnetic moments”, Phys. Part. Nucl. Lett., 13:4 (2016), 460–465  mathnet  crossref  isi  elib  scopus 1
82. N. N. Bogolyubov (Jr.), A. V. Soldatov, “On Improvable Bounds for Polaron Systems in an External Potential”, Moscow University Physics Bulletin, 71:4 (2016), 356–362  mathnet  crossref  adsnasa  isi  elib  elib  scopus
83. N. N. Bogolubov (Jr.), M. Yu. Rasulova, I. A. Tishaboev, “Quantum dynamics of two-level atoms interacting with an electromagnetic field”, Internat. J. Modern Phys. B, 28:8 (2014), 1450060 , 17 pp.  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 1
84. N. Bogolubov, A. Prykarpatsky, “A current algebra approach to the equilibrium classical statistical mechanics and its applications”, Cond. Matt. Phys., 16:2 (2013), 23702 , 13 pp., arXiv: 1307.3867  mathnet  crossref  isi  scopus 1
85. N. N. Bogolubov (Jr.), D. P. Sankovich, “Asymptotic exactness of c-number substitution in Bogolyubov's theory of superfluidity”, Cond. Matter Phys., 13:2 (2010), 23002 , 6 pp.  crossref  mathscinet  isi  elib  scopus 1
86. N. N. Bogolyubov (Jr.), “The Hartree–Fock–Bogolyubov Approximation in the Models with Four-Fermion Interaction”, Proc. Steklov Inst. Math., 228 (2000), 252–273  mathnet  mathscinet  zmath
87. Ukrainian Math. J., 44:7 (1992), 824–831  crossref  mathscinet  scopus
88. N. N. Bogolyubov (Jr.), A. S. Shumovskii, “Collective quantum effects in the problem of interaction of electromagnetic radiation with a medium”, Proc. Steklov Inst. Math., 191 (1992), 87–97  mathnet  mathscinet  zmath
89. N. N. Bogolyubov (Jr.), E. K. Bashkirov, Fam Le Kien, A. S. Shumovskii, “Dynamics of superradiant processes in two-level macroscopic systems in a crystal”, Theoret. and Math. Phys., 70:3 (1987), 320–325  mathnet  crossref  adsnasa  isi  scopus
90. A. P. Bakulev, N. N. Bogoljubov (Jr.), A. M. Kurbatov, “The principle of thermodynamic equivalence in statistical mechanics: the method of approximating Hamiltonian”, Found. Phys., 16:9 (1986), 871–882  crossref  mathscinet  adsnasa  isi  elib  scopus 1
91. N. N. Bogolyubov (Jr.), Fam Le Kien, A. S. Shumovskii, “Collapse and revival of nonlinear Rabi oscillations in a model of a three-level atom”, Dokl. Akad. Nauk SSSR, 288:3 (1986), 590–592  mathnet
92. N. N. Bogolubov, N. N. Bogolubov (Jr.), “Some approaches to polaron theory”, Found. Phys., 15:11 (1985), 1079–1177  crossref  mathscinet  adsnasa  isi  elib  scopus 1
93. N. N. Bogolyubov (Jr.), V. I. Vozyakov, V. N. Plechko, “Many-boson averages for model systems of the Dicke type”, Theoret. and Math. Phys., 44:3 (1980), 798–805  mathnet  crossref  mathscinet  adsnasa  isi  scopus
94. N. N. Bogolyubov (Jr.), “Generalized theorems in the theory of model systems”, Theoret. and Math. Phys., 33:1 (1977), 885–897  mathnet  crossref  mathscinet  adsnasa  scopus
95. N. N. Bogolyubov (Jr.), M. Yu. Rasulova, “The Solution of the Hierarchy of Quantum Kinetic Equations for Correlation Matrices with Delta function Potential”, Appl. Math. Inf. Sci., 18:2 (2024), 217–221  mathnet  crossref;
96. Nikolai Bogolyubov Jr, Andrei V. Soldatov, “Fluorescence by a polar quantum system in a polychromatic field”, Rutgers University The State University N J. 126 Statistical mechanics Conference USA. Center of Mathematical Science Research (Center of Mathematical Science Research Rutgers University may 19- 21. ,2024), eds. Prof. Joel. L. Lebovitz, Rutgers University The State University of New Jersey. USANew, 2024 (to appear)
97. N. N. Bogolyubov, Jr., A. V. Soldatov, “Resonance fluorescence of polar quantum systems in a bichromatic field”, Theoret. and Math. Phys., 217:3 (2023), 1827–1841  mathnet  crossref  crossref  mathscinet  adsnasa  scopus
98. N. N. Bogolyubov (Jr.), A. V. Soldatov, “Optoelectronic transistor effect in a polar quantum system driven by a trichromatic field”, Phys. Part. Nucl. Lett., 54:6 (2023), 1132–1141  mathnet  crossref  isi;
99. Mariam Algarni, Kamal Berrada, Sayed Abdel-Khalek, N. N. Bogolyubov, “Quantum coherence and entanglement of the system of a five-level atom in the presence of nonlinear fields”, J. Eur. Opt. Society-Rapid Publ., 19 (2023), 46 , 7 pp.  mathnet  crossref  isi;
100. Nikolai N. Bogolyubov (Jr.), Andrey V. Soldatov, “Fluorescence spectrum of a laser driven polar quantum emitter damped by degenerate squeezed vacuum with finite bandwidth”, Appl. Math. Inf. Sci., 16:2 (2022), 235–241  mathnet  crossref  mathscinet  scopus;
101. N. N. Bogolubov(Jr), Mukhayo Yn. Rasulova T. V. Akhramov, U. Avazov, “Chapter 12 - A chain of kinetic equations of Bogoliubov-–Born-–Green-–Kirkwood-–Yvon and its application to nonequilibrium complex systems”, Multi-Chaos, Fractal and Multi-Fractional Artificial Intelligence of Different Complex Systems, Elsevier, 2022, 201–213  crossref
102. Nicolai Bogoliubov, Jr., Mukhayo Rasulova, Tohir Akramov, “Generalization of the Gross–Pitaevskii equation for multi-particle cases”, Internat. J. Modern Phys. B, 35:30 (2021), 2150311 , 13 pp.  mathnet  crossref  isi  scopus;
103. N. N. Bogolyubov, Jr., A. V. Soldatov, “Dynamics of multi-level open quantum systems with initial system-environment correlations”, Phys. Part. Nucl. Lett., 16:2 (2019), 79–84  mathnet  crossref  mathscinet  isi  scopus
104. N.N. Bogolyubov, Jr.,, “Model Systems with repulsive interections in statistical mechanics”, Program of the 121st Statistical Mechanics conference (Rutgers University, USA, New Brunswick, May 12–14, 2019), v. 1, eds. Prof. J. L. Lebovitz, Rutgers University, New Brunswick, USA, 2019, 1, B5
105. Nikolai N. Bogolyubov, Jr., Andrey V. Soldatov, “Time-convolutionless master equation for multi-level open quantum systems with initial system-environment correlations”, Appl. Math. Inf. Sci., 13:5 (2019), 725–734  mathnet  crossref  mathscinet  scopus
106. N. N. Bogolyubov (Jr.), A. V. Soldatov, “Algebraic aspects of the dynamics of quantum multilevel systems in the projection operator technique”, Theoret. and Math. Phys., 194:2 (2018), 220–235  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
107. N. N. Bogolyubov (Jr.), A. V. Soldatov, “On one possible generalization of the regression theorem”, Phys. Part. Nucl. Lett., 15:2 (2018), 168–173  mathnet  crossref  isi  scopus
108. Nikolai N. Bogolyubov, Andrey V. Soldatov, “Fluorescence in quantum systems with violated symmetry”, 3rd Edition of International Conference on Advanced Spectroscopy, Crystallography and Applications in Modern Chemistry (London, June 04-05 , 2018), Struct. Chem. Crystallogr. Commun., 4, 2018, 20–21  mathnet  crossref
109. H. H. Bogolyubov, H. H. Bogolyubov (ml.), Vvedenie v kvantovuyu statisticheskuyu mekhaniku, 3-e izdanie, M., Editorial URSS, 2018 , 384 pp.  mathscinet
110. Nikolai N. Bogolyubov, “Fluorescence and amplification in quantum systems with violated symmetry”, 3rd International Conference on Applied Physics (August 23-24, 2018, London, UK), J. Appl. Math. Stat. App., 1, 2018, 22  mathnet
111. A. K. Prikarpatski, N. N. Bogolyubov (Jr.), “The quantum charged particle self-interaction problem within the Fock many temporal and Feynman proper time paradigms”, Phys. Part. Nucl. Lett., 14:1 (2017), 87–101  mathnet  crossref  mathscinet  isi  scopus
112. N. N. Bogolubov, Jr., A. V. Soldatov, “Numerical modelling of the evolution of open quantum multi-level systems”, Proceedings of the International Conference “Modern problems of mathematical modeling, data image processing and parallel computing” (September, 04–11, 2017, Divnomorsk, Gelendzhik, Krasnodar Krai, Russia), 2017, 1–5
113. Nikolai N. Bogolubov, Andrey V. Soldatov, “Algebraic aspects of the driven dynamics in the density operator and correlation functions calculation for multi-level open quantum systems”, Internat. J. Modern Phys. B, 31:32 (2017), 1850044 , 19 pp.  mathnet  crossref  mathscinet  isi  scopus
114. Nikolai (Jr.) Bogolubov, Mukhayo Rasulova, Umarbek Avazov, “The solution of the hierarchy of quantum kinetic equations for correlation matrices with generalized Yukawa potential”, Appl. Math. Inf. Sci., 11:6 (2017), 1537–1542  mathnet  crossref  mathscinet  scopus
115. Nikolai N. Bogolubov Jr, Andrey V. Soldatov, “On improvable upper bounds for confined polaron-type systems placed in external constant magnetic field.”, Invited report, The 7th International Workshop on Materials Analysis and Processing in Magnetic Fields, MAP7 (Brown University, June 15–18, 2016), Brown University, Providence, RI, 2016, 14
116. N. N. Bogolyubov Jr., A. V. Soldatov, “On upper bounds in the Fröhlich polaron model”, Proc. Steklov Inst. Math., 294 (2016), 276–282  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
117. N. N. Bogolyubov (Jr.), D. Blackmore, A. K. Prikarpatskii, “The Lagrangian and Hamiltonian Aspects of the Electrodynamic Vacuum-Field Theory Models”, BJMP, 2:2 (2016), 105–196  mathnet
118. N. N. Bogolubov Jr., A. K. Prikarpatskij, “On a new exactly solvable spatially one-dimensional quantum superradiance ferm-i medium model”, 7 Forum Matematykov Polskich z Uchastiem Matematikov Ukrainskich (12-17/09/2016 Olsztyn Poland), Otdel Polskogo Matematicheskogo Tovarishestva, Olsztyn University Warminsko-Mazurskigo v Olsztyne, Olsztyn Poland, 2016, 40, 38
119. N. N. (JR) Bogolubov and M. Rasulova, “The solution of the BBGKY hierarchy of quantum kinetic equtions with generalized Yukawa potential”, Poster book of abstracts Statphys 26 (Leone, France 20-24 july 2016), Leon University, 2016, 30
120. N. N. Bogolubov, Jr., A. V. Soldatov, “Em radiation frequency down-conversion and amplification by means of a monochromatically driven two-level quantum system”, New Tendencies of Developing Fundamental and Applied Physics: Problems, Achievements, Prospectives, The International Symposium, Book of Abstracts (Tashkent, Uzbekistan, November 10–11, 2016), National University of Uzbekistan Publishing, 2016 , 25 pp.
121. N. N. Bogolubov Jr., A. V. Soldatov, S. P. Kruchinin, “On the energy spectrum of two-electron quantum dot in external magnetic field”, Nanotechnology in the security systems, Proceedings of NATO ARW International Conference NSS-2013 (29 September – 3 October 2013, Yalta, Ukraine), NATO Sci. Peace Secur. Ser. C Environ. Secur., XVII, eds. J. Bonca and S. Kruchinin, Springer, 2015, 55–67  mathnet  crossref  isi
122. N. N. Bogolubov Jr., A. V. Soldatov, “Variational master equation approach in the approximating Hamiltonian method”, Book of Abstracts, COPDE-2015, Conference on Partial Differential Equations (München, March 25 – 29, 2015), München Technical University Press, 2015, 6
123. N. N. Bogolubov jr, M. Yu. Rasulova, “The Cauchy problem for Hierarchy of Quantum kinetic equation for correlation matrices wuth columb potential”, Book of Abstracts. Conference on Partial Differential Equations COPDE-2015 (München 25–29 March 2015, Technische Universität München), 2015, 7  zmath
124. N. N. Bogolubov, Jr., A. V. Soldatov, “Variational master equation approach to dynamics of magnetic moments”, International conference on Magneto-Science 2015, Book of Abstracts (Matsumoto, Japan, October 27–31, 2015), Shinshu University Publishing, 2015
125. N. N. Bogolubov (Jr.), A. V. Soldatov, “Polaron Models in External Magnetic Field”, MAP6 International Workshop on Materials Analysis and Processing in Magnetic Fields (MAP6), MAP6 Abstracts of Conference (Bankokku Shinryokan in Okinava, Japan, July 8–12, 2014), National Institute for Material Science, Sengen, Tsukuba 305-0047, Japan, Tokyo, Japan, 2014, 3–5
126. N. N. Bogolubov Jr., M. Yu. Rasulova, I. A. Tishabaev, “Solution of generalized Jaynes-cummings model for many particle systems”, Quantum, Nano, Micro Technologies and Applied Researches, 2nd International Symposium on Quantum, Nano and Micro Technologies (ISQNM 2013) (December 01–02, 2013), Applied Mechanics and Materials, 481, Singapore, 2014, 272–277  crossref  isi  elib  scopus
127. N. Bogolubov (Jr.), Ya. A. Prykarpatsky, “The Marsden-Weinstein reduction structure of integrable dynamical systems and a generalized exactly solvable quantum superradiance model”, Internat. J. Modern Phys. B, 27:8 (2013), 1350002 , 22 pp., arXiv: 1210.1744  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
128. N. N. Bogolubov Jr., A. V. Soldatov, Infinitely Improvable Upper Bound Estimates for Acoustical Polaron Ground State Energy, 2013 , 12 pp., arXiv: 1311.6278  zmath
129. N. N. Bogolubov Jr., A. V. Soldatov, S. P. Kruchinin, “On the energy spectrum of two-electron quantum dot in external magnetic field”, Int. Conference “Electron Correlation in Nanostructures (ECN-2013)”, Book of Abstracts (3–6 October 2013, Yalta, Ukraine), ARW NATO, 2013, 43 (full text is to appear in the proceedings of the conference)  mathscinet
130. A. K. Prykarpatsky, N. N. Bogolubov (Jr.), “The vacuum-field theory electrodynamics and the Feynman approach legacy”, The 4-th International Conference on Statistical Physics: “Modern Trends and Applications” dedicated to the 140th anniversary of the birth of Marian Smoluchowski (July 3–6, 2012 Lviv, Ukraine), Book of Abstracts, Institute for Condensed Matter Physics, 2012 , Full text will be published in Cond. Matt. Phys. (proceedings of the conference)  zmath
131. N. N. Bogolyubov (Jr.), D. P. Sankovich, “Advanced Bogolyubov model of imperfect Bose gas and superfluidity”, Problems of Atomic Science and Technology, 1:77 (2012), 245–247  mathnet  mathscinet  isi  scopus
132. N. N. Bogolyubov (Jr.), A. A. Ghazaryan, “Kinetic equation of dynamical system interacting with phonon field with account of space inhomogenity”, The 4-th International Conference on Statistical Physics: “Modern Trends and Applications” dedicated to the 140th anniversary of the birth of Marian Smoluchowski (July 3–6, Lviv, Ukraine), Book of Abstracts, 2012, 70
133. N. N. Bogolubov, M. Yu. Rasulova, I. A. Tishabaev, “Soliton solution of generalized kinetic equation for many particle Jaynes-Cummings Model”, The 4-th International Conference on Statistical Physics: “Modern Trends and Applications” dedicated to the 140th anniversary of the birth of Marian Smoluchowski (July 3–6, Lviv, Ukraine), Book of Abstracts, 2012, 72  mathscinet
134. N. N. Bogolubov (Jr.), M. Rasulova, I. Tishabaev, “Soliton solution of generalized kinetic equation for many particle Jaynes-Cummings Model”, Proceedings of the 3d International Conference on Photonics (ICP 2012, organised by IEEE Photonics Society, Malaysia Chapter) (6–12 October, PARKROYAL Penang Resort, Malaysia), IEEE, 2012, 42–48
135. N. N. Bogolubov, Jr., A. V. Soldatov, “Wick's Symbol Approach to the Impurity Bound Fröhlich Polaron”, Proceedings of the 2nd International Conference on Photonics (ICP 2011, organised by IEEE Photonics Society, Malaysia Chapter) (17–19 October, Le Meridien, Kota Kinabalu, Malaysia), IEEE, 2011, 289–292
136. N. N. Bogolubov (Jr.), D. P. Sankovich, “Advanced Bogolyubov model of imperfect Bose gas and superfluidity”, 3rd Int. Conf. on Quantum Electrodynamics and Statistical Physics (Kharkov, 29 August–02 September 2011), Book of Abstracts, NSC KIPT, Kharkov, 2011, 152
137. N. N. Bogolubov (Jr.), D. P. Sankovich, “An approximating Hamiltonian method in the theory of imperfect Bose gas”, Phys. Properties of Nanosystems, NATO Science for Peace and Security. Series B. Physics and Biophysics, IX, 1st ed., Springer, 2011, 203–214  crossref  adsnasa  isi  scopus
138. N. N. Bogolubov, Jr., A. K. Prykarpatsky, “Modern Classical Electrodynamics and Elektromagnetic Radiation-Vacuum Field Theory Aspects”, Electromagnetic Waves, ed. V. Zhurbenko, InTech, Open Access publisher of Scientific Books and Journals, 2011, 25–30
139. M. Yu. Kovalevsky, N. N. Bogolubov, Jr., “Symmetry and classification of equilibrium states of magnets with tensor order parameters”, 4th International Conference on Magneto-Science. Book of Abstracts (Shanghai University, China, October 9–12, 2011), Shanghai University, China, 2011, 11–12
140. N. N. Bogolubov (jr.), Ya. A. Prykarpatsky, A. A. Ghazaryan, “The Bogolubov representation of the polaron model and its completely integrable RPA-approximation”, Condensed Matter Physics, 13:2 (2010), 23703 , 10 pp.  crossref  mathscinet  isi  scopus
141. N. N. Bogolubov Jr., A. K. Prikarpatskiy, “The vacuum structure and special relativity revisited: A field theory no-geometry approach within the Lagrangian and Hamiltonian formalisms”, Bogolyubov Conference on Modern Problems of Mathematical and Theoretical Physics (September 15–18, 2009, Kyiv, Ukraine), Physics of Particles and Nuclei, 41, no. 6, 2010, 913–920  crossref  mathscinet  adsnasa  isi  scopus
142. N. N. Bogolubov, A. A. Kasarian, “Kinetic equations in polaron theory for the case of spatial inhomogeneity”, Bogolyubov Conference on Modern Problems of Mathematical and Theoretical Physics (September 15–18, 2009, Kyiv, Ukraine), Physics of Particles and Nuclei, 41, no. 7, 2010, 1008–1013  crossref  adsnasa  isi  scopus
143. N. N. Bogolyubov (Jr.), D. P. Sankovich, “Bogolyubov's approximation for bosons”, Ukr. J. Phys., 55:1 (2010), 104–108  mathscinet  elib  scopus
144. N. N. Bogolubov, N. N. Bogolubov (Jr.), Introduction to quantum statistical mechanics, Ed. 2, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2010 , xvi+422 pp.  mathscinet  zmath
145. N. N. Bogolubov (Jr.), A. K. Prykarpatsky, “The Lagrangian and Hamiltonian analysis of some relativistic electrodynamics models and their quantization”, 3rd Conference on Statistical Physics (June 23–25, 2009, Lviv, Ukraine), Condensed Matter Physics, 12, no. 4, 2009, 603–616  crossref  isi
146. N. N. Bogolyubov, N. N. Bogolyubov (ml.), “Aspekty vtorichnogo kvantovaniya”, Izbrannye universitetskie lektsii, Izd-vo Mosk. un-ta, M., 2009, 654–723
147. N. N. Bogolubov, Jr., A. A. Kazaryan, “Kinetic equation for the dynamic system interacting with the phonon field in the case of space inhomogenity”, The 3-d International Conference “Statistical Physics: Modern Trends and Applications” dedicated to the 100-th anniversary of academician N. N. Bogolyubov (1909–1992) (June 23–25, 2009 Lviv, Ukraine), Book of Abstracts, Lviv, 2009, 204
148. N. Bogolubov (Jr.), A. Kazaryan, Y. Prykarpatsky, “Operator Analysis of an RPA-Reduced Polaron Model within the Bogolubov representation in Magnetic field at finite temperature, Part 1”, Int. J. Mod. Phys. B, 23:24 (2009), 4843–4853  crossref  zmath  adsnasa  isi  elib  scopus
149. N. N. Bogolubov, Jr., A. K. Prykarpatsky, “The Lagrangian and Hamiltonian Formalizms for the Classical Reliativistic Electrodinamics Models Revisited”, Ukr. J. Phys., 54:8-9, Special issue dedicated to the 100-th anniversary of academician N. N. Bogolyubov (2009), 753–766
150. N. N. Bogolyubov (Jr.), A. V. Soldatov, “Wick's symbol approach to the Fröhlich polaron problem”, Ukr. J. Phys., 54:8-9, Special issue dedicated to the 100-th anniversary of academician N. N. Bogolyubov (2009), 873–880  mathscinet
151. N. N. Bogolubov, Jr., A. K. Prykarpatsky, U. Taneri, The relativistic electodynamics least action principles revisited: new charged point particle and hadronic string models analysis. Part 3, Preprint ICTP IC/2009/027, International Centre for Theoretical Physics, Trieste, Italy, 2009 http://users.ictp.it/~pub_off/preprints-sources/2009/IC2009027P.pdf
152. A. K. Prykarpatsky, N. N. Bogolubov (Jr.), “The relativistic electrodynamic least action principles revisited: new charged point particle and hadronic string models analysis”, The 3-d International Conference “Statistical Physics: Modern Trends and Applications” dedicated to the 100-th anniversary of academician N. N. Bogolyubov (1909–1992) (June 23–25, 2009 Lviv, Ukraine), Book of Abstracts, Lviv, 2009, 16
153. N. N. Bogolubov (Jr.), A. K. Prykarpatsky, U. Taneri, “The relativistic electrodynamic least action principles revisited: new charged point particle and hadronic string models analysis”, The International Bogolyubov Conference “Problems of Theoretical and Mathematical Physics” (August 21–27, 2009, Moscow-Dubna, Russia), Book of Abstracts, JINR, Dubna, 2009, 298
154. N. N. Bogolubov (Jr.), D. L. Blackmore, A. K. Prykarpatsky, “On Kinetic Boltzman-Bogolubov Type Equations and Related Hydrodynamic Flows with Dry Viscosity”, The International Bogolyubov Conference “Problems of Theoretical and Mathematical Physics” (August 21–27, 2009, Moscow-Dubna, Russia), Book of Abstracts, JINR, Dubna, 2009, 243
155. N. N. Bogolubov (Jr.), A. A. Kazaryan, “Operator analysis of a reduced polaron model in magnetic field at finite temperature”, The International Bogolyubov Conference “Problems of Theoretical and Mathematical Physics”, Book of Abstracts (August 21–27, 2009, Moscow-Dubna, Russia), JINR, Dubna, 2009, 199
156. A. K. Prykarpatsky, J. Golenia, N. N. Bogolubov, Jr., U. Taneri, “Introductory background to modern quantum mathematics with application to nonlinear dynamical systems”, Further progress in analysis, World Sci. Publ., Hackensack, NJ, 2009, 760–779  crossref  mathscinet  zmath
157. A. K. Prykarpatsky, N. N. Bogolubov (Jr.), “The characteristic Chern-type classes and integrability of multidimensional differential systems on Riemannian manifolds”, Further progress in analysis, World Sci. Publ., Hackensack, NJ, 2009, 743–759  crossref  mathscinet  zmath
158. N. N. Bogolyubov, N. N. Bogolyubov ml., “Aspekty vtorichnogo kvantovaniya”, Izbrannye universitetskie lektsii, MGU, M., 2009, 654–723
159. N. N. Bogoliubov (Jr.), J. Golenia, A. K. Prykarpatsky, U. Taneri, “Quantum mathematics: backgrounds and some applications to nonlinear dynamical systems”, Nelin. koliv., 11:1 (2008), 7–20  mathscinet
160. N. N. Bogolubov (Jr.), A. K. Prykarpatsky, U. Taneri, The vacuum structure, special relativity theory and quantum mechanics revisitited: a field theory-no-geometry approach, Preprint ICTP, IC/2008/08 (part 1), 2008
161. N. N. Bogolubov (Jr.), A. K. Prykarpatsky, U. Taneri, The vacuum structure, special relativity theory and quantum mechanics revisitited: a field theory-no-geometry approach within the Lagrangian and Hamiltonian formalisms, Preprint ICTP, IC/2008/08 (part 2), 2008
162. N. N. Bogolubov (Jr.), A. K. Prykarpatsky, “The Bogolubov generating functional method in statistical physics and “collective” variables transform within the grand canonical ensemble”, Nonlinear Oscil. (N. Y.), 10:1 (2007), 32–45  crossref  mathscinet  scopus
163. N. N. Bogolubov (Jr.), A. K. Prykarpatsky, “Generalized de Rham–Hodge complexes, the related characteristic Chern classes and some applications to integrable multidimensional differential systems on Riemannian manifolds”, Ukrainian Math. J., 59:3 (2007), 361–378  crossref  mathscinet  elib  scopus
164. N. N. Bogolubov (Jr.), D. L. Blackmore, V. Hr. Samoylenko, A. K. Prykarpatsky, “On kinetic Boltzmann equations and related hydrodynamic flows with dry viscosity”, Opuscula Math., 27:2 (2007), 187–195  mathscinet  zmath
165. N. N. Bogolyubov, N. N. Bogolyubov (ml.), Collection of scientific works. Statistical mechanics, v. VII, Classics of Science, An introduction to quantum statistical mechanics. Aspects of polaron theory, “Nauka”, Moscow, 2007 , 663 pp.  mathscinet
166. N. N. Bogolubov, Jr., A. K. Prykarpatsky, A sympletic generalization of Perandzynski helicity teorem and some applications, Preprint ICTP TRIESTE IC/2007/118, ICTP Trieste International Center, TRIESTE-MIRAMARE Italy, 2007 , 16 pp.
167. N. N. Bogolubov, Jr., A. K. Prykarpatsky, Generalized de RHAM-Hodge complexes,the related characteristic Chern classes and some applications to integrable multi-dimensional differential systems on Riemannian manifolds, Preprint ICTP Trieste IC/2006/107, ICTP Trieste International Center, TRIESTE-MIRAMARE Italy, 2007 , 17 pp.
168. N. N. Bogolubov, Jr., A. K. Prykarpatsky, “The analytic aspects of the Bogoliubov generaletiv functional equations within the Bogoliubov canonical transformation method”, Old and New Concepts of Physics, 4:3 (2007), 361–380  crossref  adsnasa
169. N. N. Bogolubov, Jr., A. S. Shumovsky, “To What Extent the Superfluid 4He is Squeezed”, Old and New Concepts of Physics, 4:3 (2007), 381–387  crossref  adsnasa
170. N. N. Bogolyubov, N. N. Bogolyubov ml., “Aspekty teorii polyarona”: N. N. Bogolyubov, Sobranie nauchnykh trudov, v. 7, Nauka, M., 2007, 375–559  mathscinet
171. N. N. Bogolyubov, N. N. Bogolyubov ml., “Kineticheskoe uravnenie dlya dinamicheskoi sistemy vzaimodeistvuyuschei s fononnym polem. Dopolnenie 1”: N. N. Bogolyubov, Sobranie nauchnykh trudov, v. 7, Nauka, M., 2007, 560–610  mathscinet
172. N. N. Bogolyubov ml., V. N. Plechko, “Teoriya vozmuschenii v modeli polyarona pri konechnoi temperature. Dopolnenie 1”: N. N. Bogolyubov, Sobranie nauchnykh trudov, v. 7, Nauka, M., 2007, 611–625  mathscinet
173. N. N. Bogolubov, Jr., A. K. Prykarpatsky, D. L. Blackmore, On Benney type hydrodynamical systems and their Boltzmann-Vlasov equations kinetic models, Preprint IC/2006/006, ICTP Trieste International Center, TRIESTE-MIRAMARE Italy, 2006 , 20 pp.
174. N. N. Bogolyubov, N. N. Bogolyubov ml., “Obobschennoe kineticheskoe uravnenie dlya dinamicheskoi sistemy vzaimodeistvuyuschei s fononnym polem”: N. N. Bogolyubov, Sobranie nauchnykh trudov, v. 5, Nauka, M., 2006, 690–708  mathscinet
175. N. N. Bogolyubov ml., A. S. Shumovskii, B. I. Sadovnikov, “Matematicheskie metody statisticheskoi mekhaniki modelnykh sistem. Prilozheniya”: N. N. Bogolyubov, Sobranie nauchnykh trudov, v. 6, Nauka, M., 2006, 441–443
176. N. N. Bogolyubov (Jr.), M. Yu. Kovalevskiĭ, “Quasi-averaging and classification of equilibrium states of magnetic condensed media”, Ukraïn. Fīz. Zh., 50:8A (2005), A104–A112  mathscinet
177. N. N. Bogolubov, Jr., Yu. A. Prykarpatsky, A. K. Prykarpatsky, A. M. Samoilenko, “Generalization De Rham-Hodge theory of multidimensional Delsar transmutations and its application for nonlinear dynamical systems”, Physics of Particles and Nuclei JINR, 36 (2005), 216–235  mathscinet
178. N. N. Bogolyubov, N. N. Bogolyubov ml., Vvedenie v kvantovuyu statesticheskuyu mekhaniku. Aspekty teorii polyarona, Nauka, M., 2005  mathscinet
179. A. K. Prykarpatsky, U. Taneri, N. N. Bogolyubov (Jr.), Quantum field theory with application to quantum nonlinear optics, World Sci. Publ., River Edge, NJ, 2002 , x+122 pp.  mathscinet  zmath
180. N. N. Bogolubov, N. N. Bogolubov (Jr.), Polaron theory. Model problems, Gordon and Breach Sci. Publ., Amsterdam, 2000 , viii+253 pp.  mathscinet  zmath
181. N. N. Bogolyubov (Jr.), E. N. Bogolyubova, “An exactly solvable model with positive four-fermion interaction”, Ukraïn. Fīz. Zh., 45:4-5 (2000), 439–445  mathscinet
182. A. K. Prykarpatsky, D. Blackmore, N. N. Bogoliubov (Jr.), V. Hr. Samoilenko, “On the Hamiltonian structure of Benney type hydrodynamic and Boltzmann–Vlasov axial kinetic equations”, Nelin. koliv., 2:1 (1999), 59–82  mathscinet
183. N. N. Bogoliubov (Jr.), A. K. Prykarpatsky, D. Blackmore, “Swept volume dynamical systems and their kinetic models”, Nelin. koliv., 2:3 (1999), 291–305  mathscinet
184. N.N. Bogolubov Jr, A.K. Prikarpatsky, D. Blackmore, “SWEPT VOLUME DINAMICAL SYSTEMS AND THEIR KINETIC MODELS”, Nonlinear Oscillation (Nelineni kolivanni Ukrainskii zhurnal), 2:No 3, UDC 517.9 (1999), 291-305 , ISSN 1562-3076  mathscinet
185. N. N. Bogolyubov (Jr.), “Second order approximation to the problem of optical polaron in the strong coupling case”, Ukraïn. Fīz. Zh., 43:6-7 (1998), 675–679  mathscinet
186. N. N. Bogolubov, N. N. Bogolubov (Jr.), An introduction to quantum statistical mechanics, Gordon and Breach Sci. Publ., Yverdon, 1994 , xviii+543 pp.  mathscinet  zmath
187. N. N. Bogolubov, Jr., Second order approximation for optical polaron, Preprint IC/93/372, International Atomic Energy Agency UNES, TRIESTE-MIRAMARE Italy, 1993 , 17 pp.
188. N. N. Bogolubov (Jr.), V. G. Samoĭlenko, A. K. Prikarpatskiĭ, “The Hamiltonian structure of Benney-type hydrodynamical systems and associated Boltzmann–Vlasov equations”, Ukraïn. Fīz. Zh., 37:1 (1992), 147–156  mathscinet
189. N. N. Bogolyubov (Jr.), A. K. Prikarpatskiĭ, V. G. Samoĭlenko, The Hamiltonian structure of hydrodynamical equations of Benney type and associated Boltzmann–Vlasov equations on the axis, Preprint no. 25, Akad. Nauk Ukrain. SSR Inst. Mat., 1991 , 43 pp.  mathscinet  zmath
190. N. N. Bogolyubov (Jr.), A. M. Kurbatov, D. P. Sankovich, “Toward a theory of Bose–Einstein condensation”, Selected topics in statistical mechanics (Dubna,1989), World Sci. Publ., Teaneck, NJ, 1990, 36–41  mathscinet
191. N. N. Bogolubov, Jr., Some remarks on polaron theory, Preprint E2-90-535, Joint Institute Nuclear Research, Dubna, 1990 , 15 pp.
192. N. N. Bogolyubov (ml.), V. G. Samoilenko, U. S. Suyarov, Klassicheskaya i kvantovaya polnaya inegriruemost modeli tipa Shredingera, Preprint № 24, In-t matem. AN USSR, Kiev, 1989 , 23 pp.  mathscinet
193. N. N. Bogolyubov (ml.), B. I. Sadovnikov, A. S. Shumovskii, Matematicheskie metody statisticheskoi mekhaniki modelnykh sistem, Nauka, M., 1989 , 295 pp.  mathscinet
194. N. N. Bogolyubov (Jr.), A. N. Kireev, A. M. Kurbatov, D. P. Sankovich, “Some problems in polaron theory”, Proc. Steklov Inst. Math., 191 (1992), 15–33  mathnet  mathscinet  zmath
195. N. N. Bogolyubov (Jr.), A. M. Kurbatov, V. N. Neskoromnyĭ, “The weak Van Hove coupling limit in the theory of open systems that interact with a boson heat bath”, Physics of multiparticle systems, 14, Naukova Dumka, Kiev, 1988, 1–5  mathscinet
196. N. N. Bogolubov (Jr.), A. R. Kazaryan, A. M. Kurbatov, V. N. Neskoromnyĭ, “The nonequilibrium description of superradiant state on the basis of exact evolution equation”, Internat. J. Modern Phys. B, 1:1 (1987), 69–88  crossref  mathscinet  zmath  adsnasa
197. N. N. Bogolyubov (ml.), A. S. Shumovskii, Sverkhizluchenie, Lektsii dlya molodykh uchenykh, 38, OIYaI, Dubna, 1987 , 88 pp.  mathscinet
198. Yu. A. Mitropolskii, N. N. Bogolyubov (ml.), A. K. Prikarpatskii, V. G. Samoilenko, Integriruemye dinamicheskie sistemy: spektralnye i differentsialno-geometricheskie aspekty, Naukova dumka, Kiev, 1987 , 296 pp.  mathscinet
199. N. N. Bogolyubov (Jr.), A. K. Prikarpatskiĭ, V. G. Samoĭlenko, N. N. Bogolyubov's method of generating functionals in statistical mechanics, functional equations and their Hamiltonian structure, Preprint no. 53, Akad. Nauk Ukrain. SSR Inst. Mat., 1986 , 18 pp.  mathscinet
200. A. P. Bakulev, N. N. Bogolyubov (Jr.), A. M. Kurbatov, “The generalized Mayer theorem and the approximating Hamiltonian method”, Physics of multiparticle systems, 7, Naukova Dumka, Kiev, 1985, 3–11  mathscinet
201. N. N. Bogolyubov, A. K. Prikarpatskiĭ, V. G. Samoĭlenko, “Dynamical systems of Neumann type and their complete integrability”, Dokl. Akad. Nauk SSSR, 285:4 (1985), 853–857  mathnet  mathscinet  zmath  isi
202. N. N. Bogolyubov (Jr.), M. Yu. Kovalevskiĭ, S. V. Peletminskiĭ, A. N. Tarasov, A. M. Kurbatov, “Hydrodynamics of superfluid systems and the method of quasiaverages”, Soviet J. Particles and Nuclei, 16:4 (1985), 389–409  mathscinet
203. N. N. Bogolyubov (Jr.), A. K. Prikarpatskiĭ, “Finite-gap solutions of an equation of Heisenberg type”, Mat. Metody i Fiz.-Mekh. Polya, 21, 1985, 3–7  mathscinet  zmath
204. A. P. Bakulev, N. N. Bogolubov (Jr.), A. M. Kurbatov, “The generalized Mayer theorem in the approximating Hamiltonian method”, J. Austral. Math. Soc. Ser. B, 27:1 (1985), 125–130  crossref  mathscinet
205. N. N. Bogolyubov, N. N. Bogolyubov (ml.), “Obobschennoe kineticheskoe uravnenie dlya dinamicheskoi sistemy, vzaimodeistvuyuschei s fononnym polem”, Problemy sovremennoi statisticheskoi fiziki, Naukova dumka, Kiev, 1985, 5–18
206. N. N. Bogolyubov (ml.), A. K. Prikarpatskii, Issledovanie modelei polyarona i polyarnogo gaza na osnove metoda proizvodyaschikh, Preprint № 144, ITF, Kiev, 1985 , 33 pp.
207. N. N. Bogolyubov, N. N. Bogolyubov (ml.), Vvedenie v kvantovuyu statisticheskuyu mekhaniku, Nauka, M., 1984 , 384 pp.  mathscinet
208. N. N. Bogolyubov (Jr.), A. K. Prikarpatskiĭ, V. G. Samoĭlenko, “Complete integrability of dynamic systems of Neumann type”, Dokl. Akad. Nauk Ukrain. SSR Ser. A, 1984, no. 10, 51–54  mathscinet  zmath
209. N. N. Bogolyubov (Jr.), Kireev A. N., A. M. Kurbatov, “Generalized equation of motion for the statistical operator of a dynamical subsystem and the Boltzmann equation in polaron theory”, Bulgar. J. Phys., 11:1 (1984), 3–10  mathscinet
210. N. N. Bogolyubov (Jr.), A. K. Prikarpatskiĭ, “Application of methods of algebraic geometry to the description of completely integrable ordinary differential Riccati equations. II”, Mat. Metody i Fiz.-Mekh. Polya, 18, 1983, 3–7  mathscinet  zmath
211. N. N. Bogolyubov (ml.), A. K. Prikarpatskii, V. G. Samoilenko, Periodicheskaya zadacha dlya nelineinykh uravnenii rasprostraneniya volnovogo impulsa v dvukhurovnevoi srede bez dissipatsii, Preprint, In-t matem. AN USSR, Kiev, 1983 , 16 pp.  mathscinet
212. N. N. Bogolyubov (Jr.), A. K. Prikarpatskiĭ, “Application of methods of algebraic geometry to the description of completely integrable ordinary differential Riccati equations. I”, Mat. Metody i Fiz.-Mekh. Polya, 17, 1983, 3–10  mathscinet  zmath
213. N. N. Bogolubov, N. N. Bogolubov (Jr.), Introduction to quantum statistical mechanics, eds. C. J. H. Lee, World Sci. Publ., Singapore, 1982 , viii+299 pp.  mathscinet
214. N. N. Bogolyubov (Jr.), A. K. Prikarpatskiĭ, V. G. Samoĭlenko, “Exact almost-periodic and soliton solutions of nonlinear equations of wave impulse propagation in a two-level medium without dissipation”, Dokl. Akad. Nauk Ukrain. SSR Ser. A, 1982, no. 4, 5–9  mathscinet  zmath
215. N. N. Bogolyubov (Jr.), A. K. Prikarpatskiĭ, V. G. Samoĭlenko, “Discrete periodic problem for a modified nonlinear Korteweg-de\thinspace Vries equation”, Dokl. Akad. Nauk SSSR, 258:3 (1981), 575–580  mathnet  mathscinet  mathscinet  zmath  isi
216. N. N. Bogolyubov i dr., Metod approksimiruyuschego gamiltoniana v statisticheskoi fizike, Izd-voBAN, Sofiya, 1981
217. N. N. Bogolyubov, N. N. Bogolyubov (ml.), Aspekty teorii polyarona, Preprint OIYaI, R-17-82-65, Dubna, 1981 , 132 pp.
218. N. N. Bogolyubov (ml.), A. N. Ermilov, A. M. Kurbatov, “The $\varepsilon$-procedure and classes of exactly solvable model problems”, Metody statisticheskoi mekhaniki, Elm, Baku, 1980, 23–44  mathscinet
219. N. N. Bogolyubov (ml.), “Generalized theorems in the theory of model systems”, Metody statisticheskoi mekhaniki, Elm, Baku, 1980, 45–66  mathscinet
220. N. N. Bogolyubov, N. N. Bogolyubov (ml.), “Kineticheskoe uravnenie dlya dinamicheskoi sistemy, vzaimodeistvuyuschei s fononnym polem”, EChAYa, 11:2 (1980), 245–300  mathscinet
221. N. N. Bogolyubov, N. N. Bogolyubov (ml.), Vvedenie v kvantovuyu statisticheskuyu mekhaniku, Ch. 1; Ch. 2. Aspekty vtorichnogo kvantovaniya i modelnye sistemy v kvantovoi statisticheskoi fizike, OIYaI, Dubna, 1980  mathscinet
222. N. N. Bogolyubov, N. N. Bogolyubov (ml.), “Obobschennoe kineticheskoe uravnenie dlya dinamicheskoi si- stemy, vzaimodeistvuyuschei s fononnym polem”, Mezhdunar. simp. «Fundamentalnye problemy teoret. i matem. fiziki» (Dubna, 1979), Dubna, 1979, 337–362
223. N. N. Bogolubov (Jr.), “Generalized theorems in model system theory”, Fundamental problems in statistical mechanics, IV, Proc. Fourth Internat. Summer School (Jadwisin, 1977), Ossolineum, Wrocław, 1978, 11–40  mathscinet  adsnasa
224. N. N. Bogoljubov (Jr.), V. N. Plečko, “A model system with interaction of repulsion”, Vestnik Moskov. Univ. Ser. III Fiz. Astronom., 17:1 (1976), 15–23  mathscinet
225. N. N. Bogoliubov (Jr.), A. G. Shumovsky, A. S. Shumovsky, “The time correlations for the Thirring model with positive interaction”, Phys. Lett., 47A:4 (1974), 269–270  crossref  mathscinet  adsnasa  elib  scopus
226. N. N. Bogolyubov (ml.), Metod issledovaniya modelnykh gamiltonianov, Nauka, M., 1974 , 176 pp.  mathscinet
227. N. N. Bogolyubov (Jr.), “On a minimax principle for some model problems of statistical physics.”, Soviet J. Nuclear Phys., 10 (1969), 243–245  mathscinet  adsnasa
228. N. N. Bogolyubov (Jr.), “On accurately solvable quasispin Thirring's model”, Dokl. Akad. Nauk SSSR, 182:4 (1968), 797–798  mathnet
229. N. N. Bogolyubov (Jr.), “Green's functions for model hamiltonians”, Dokl. Akad. Nauk SSSR, 168:4 (1966), 766–769  mathnet
230. N. N. Bogolyubov (ml.), “Calculation of the free energy for model systems”, Ukr. matem. zhurn., 17:3 (1965), 3–15  mathscinet
231. N. N. Bogolyubov (ml.), B. I. Sadovnikov, “O periodicheskikh resheniyakh differentsialnogo uravneniya $n$-go poryadka s malym parametrom”, Trudy Mezhdunarodnogo simpoziuma po nelineinym kolebaniyam, v. 1, Analiticheskie metody teorii nelineinykh kolebanii, Izd-vo AN USSR, Kiev, 1963, 155–165  mathscinet
232. N. N. Bogolyubov (ml.), B. I. Sadovnikov, “The Hartree–Fok equation in the Green's function method”, Vestn. Mosk. un-ta. Ser. 3. Fiz., astron., 1963, no. 2, 47–57  mathscinet
233. N. N. Bogolyubov (Jr.), B. I. Sadovnikov, “Green's functions and distribution functions in the statistical mechanics of classical systems”, Soviet Physics JETP, 16 (1963), 482–488  mathscinet  adsnasa
234. N. N. Bogolyubov (ml.), B. I. Sadovnikov, “O periodicheskikh resheniyakh differentsialnogo uravneniya $n$-go poryadka s malym parametrom”, Ukr. matem. zhurn., 13:3 (1961), 3–11  mathscinet
235. N. N. Bogolyubov (ml.), B. I. Sadovnikov, “Ob odnom variante metodov usredneniya”, Vestn. Mosk. un-ta. Ser. 3. Fiz., astron., 1961, no. 3, 24–34  mathscinet  zmath
236. V. S. Vladimirov, V. A. Il'in, S. M. Nikol'skii, A. A. Slavnov, N. N. Bogolyubov (Jr.), D. N. Zubarev, V. M. Millionshchikov, “Nikolaǐ Nikolaevich Bogolyubov”, Differ. Equ., 28:6 (1992), 735–736  mathnet  mathscinet
237. Bogolubov JR., Quantum Statistical Mechanics, Selected Works of N. N. Bogolubov, Library of Congress Catalog-in Publication Data Bogolubov N . N.autor Quantum statistical Mechanics, Quantum Statistical Mechanics, Quantum Statistical Mechanics, Selected Works of N. N. Bogolubov, WORLD SCIENTIFIC, New JERSEY, LONDON, eds. N.N. Bogolubov, Denis Blackmore ( Department of Mathematics Science)New JerseyInstitute of Technolog, World Scientific NEW JERSEY, LONDON, Singapore; BEIJING SHANGHAI, 5 Toh Tuck Link SINGAPORE 596224, 2015 , 311 pp., Title QC174.4B65 2014 UK :57 Shelton Street ,Covent Garden LondonWC2H9HE  mathscinet  zmath  adsnasa
238. N. N. Bogolyubov (Jr.), D. P. Sankovich, “Nikolaĭ Nikolaevich Bogolyubov. Survey of scientific work”, Phys. Particles Nuclei, 24:5 (1993), 517–544  mathscinet  adsnasa
239. Yu. O. Mitropol's'kiĭ, N. N. Bogolubov (Jr.), A. M. Samoĭlenko, Ī. V. Vakarchuk, Yu. K. Rudavskiĭ, A. K. Prikarpatskiĭ, “This issue is dedicated to the sacred memory of N. N. Bogolyubov”, Ukrainian Math. J., 44:9 (1992), 1055–1056  crossref  mathscinet
240. N. N. Bogolyubov (ml.), B. I. Sadovnikov, Nekotorye voprosy statisticheskoi mekhaniki, Vysshaya shkola, M., 1975 , 352 pp.  mathscinet
241. Statisticheskaya mekhanika i teoriya dinamicheskikh sistem, K 80-letiyu so dnya rozhdeniya akademika Nikolaya Nikolaevicha Bogolyubova, Tr. MIAN SSSR, 191, ed. N. N. Bogolyubov (ml.), E. F. Mischenko, Nauka, M., 1989 , 224 pp.  mathnet  mathscinet  zmath

Books in Math-Net.Ru
  1. Statistical mechanics and the theory of dynamical systems, Collection of papers. Dedicated to Academician N. N. Bogolyubov on his 80th birthday, Trudy Mat. Inst. Steklov., 191, ed. N. N. Bogolyubov (Jr.), E. F. Mishchenko, 1989, 224 с.
    http://mi.mathnet.ru/book1116

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