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Kaschenko, Sergey Aleksandrovich
Professor
Doctor of physico-mathematical sciences
E-mail:
Website: https://www.mathnet.ru/rus/ivp521

https://www.mathnet.ru/eng/person21750
https://scholar.google.com/citations?user=kow69RkAAAAJ&hl=en
https://zbmath.org/authors/ai:kashchenko.sergey-aleksandrovich
https://mathscinet.ams.org/mathscinet/MRAuthorID/197499
https://elibrary.ru/author_items.asp?spin=3234-4107
https://orcid.org/0000-0002-8777-4302
https://www.webofscience.com/wos/author/record/F-4208-2014
https://www.scopus.com/authid/detail.url?authorId=57079151400

Publications in Math-Net.Ru Citations
2024
1. I. S. Kashchenko, S. A. Kaschenko, I. N. Maslenikov, “Stability of solutions to the logistic equation with delay, diffusion, and nonclassical boundary conditions”, Dokl. RAN. Math. Inf. Proc. Upr., 517 (2024),  101–108  mathnet  elib; Dokl. Math., 109:3 (2024), 275–281
2. S. A. Kaschenko, A. O. Tolbey, “Quasinormal forms for systems of two equations with large delay”, Izvestiya VUZ. Applied Nonlinear Dynamics, 32:6 (2024),  782–795  mathnet
3. S. A. Kaschenko, “Chains with Diffusion-Type Couplings Containing a Large Delay”, Mat. Zametki, 115:3 (2024),  355–370  mathnet  mathscinet; Math. Notes, 115:3 (2024), 323–335  scopus
4. Sergey A. Kashchenko, “Asymptotics of Self-Oscillations in Chains of Systems of Nonlinear Equations”  mathnet 1
5. S. V. Aleshin, D. S. Glyzin, S. A. Kaschenko, “Wave propagation in the Kolmogorov–Petrovsky–Piscounov–Fisher equation with delay”, TMF, 220:3 (2024),  415–435  mathnet  mathscinet; Theoret. and Math. Phys., 220:3 (2024), 1411–1428  scopus
2023
6. S. A. Kaschenko, D. S. Kosterin, S. D. Glyzin, “A family of piecewise-smooth solutions of a class of spatially distributed equations”, CMFD, 69:2 (2023),  263–275  mathnet
7. S. A. Kaschenko, A. O. Tolbey, “Dynamics of a system of two equations with a large delay”, Dokl. RAN. Math. Inf. Proc. Upr., 513 (2023),  51–56  mathnet  elib; Dokl. Math., 108:2 (2023), 369–373 1
8. S. A. Kaschenko, “Dynamics of full-coupled chains of a great number of oscillators with a large delay in couplings”, Izvestiya VUZ. Applied Nonlinear Dynamics, 31:4 (2023),  523–542  mathnet 1
9. S. A. Kaschenko, A. O. Tolbey, “Bifurcations in the Logistic Equation with Diffusion and Delay in the Boundary Condition”, Mat. Zametki, 113:6 (2023),  940–944  mathnet; Math. Notes, 113:6 (2023), 869–873  scopus 2
10. I. S. Kashchenko, S. A. Kaschenko, “Local dynamics of the model of a semiconductor laser with delay”, TMF, 215:2 (2023),  232–241  mathnet  mathscinet; Theoret. and Math. Phys., 215:2 (2023), 658–666  scopus 1
11. S. A. Kaschenko, “Dynamics of chains of many oscillators with unidirectional and bidirectional delay coupling”, Zh. Vychisl. Mat. Mat. Fiz., 63:10 (2023),  1617–1636  mathnet  elib; Comput. Math. Math. Phys., 63:10 (2023), 1817–1836 1
2022
12. S. A. Kaschenko, “Quasi-normal forms in the problem of vibrations of pedestrian bridges”, Dokl. RAN. Math. Inf. Proc. Upr., 506 (2022),  49–53  mathnet  elib; Dokl. Math., 106:2 (2022), 343–347 2
13. S. A. Kaschenko, “Dynamics of the chain of logistic equations with delay and antidiffusive linkage”, Dokl. RAN. Math. Inf. Proc. Upr., 502 (2022),  23–27  mathnet  elib; Dokl. Math., 105:1 (2022), 18–22 4
14. S. A. Kaschenko, D. O. Loginov, “The influence of external environment resistance coefficient on population dynamics”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 1,  65–73  mathnet; Russian Math. (Iz. VUZ), 66:1 (2022), 53–61
15. E. V. Grigoryeva, S. A. Kaschenko, “Local dynamics of laser chain model with optoelectronic delayed unidirectional coupling”, Izvestiya VUZ. Applied Nonlinear Dynamics, 30:2 (2022),  189–207  mathnet 2
16. S. A. Kaschenko, “Asymptotics of the Relaxation Cycle in the Modified Logistic Equation with Delay”, Mat. Zametki, 112:1 (2022),  143–147  mathnet  mathscinet; Math. Notes, 112:1 (2022), 154–158  scopus
2021
17. S. A. Kaschenko, “Construction of families of equations to describe irregular solutions in the Fermi–Pasta–Ulam problem”, Dokl. RAN. Math. Inf. Proc. Upr., 501 (2021),  52–56  mathnet  zmath  elib; Dokl. Math., 104:3 (2021), 360–364  scopus
18. S. A. Kaschenko, “Dynamics of Spatially Distributed Chains of Coupled Systems of Equations in a Two-Dimensional Domain”, Mat. Zametki, 110:5 (2021),  715–725  mathnet  elib; Math. Notes, 110:5 (2021), 709–717  isi  scopus
19. S. A. Kaschenko, “Comparative dynamics of chains of coupled van der Pol equations and coupled systems of van der Pol equations”, TMF, 207:2 (2021),  277–292  mathnet; Theoret. and Math. Phys., 207:2 (2021), 640–654  isi 1
20. S. A. Kaschenko, “Corporate dynamics in chains of coupled logistic equations with delay”, Zh. Vychisl. Mat. Mat. Fiz., 61:7 (2021),  1070–1081  mathnet  elib; Comput. Math. Math. Phys., 61:7 (2021), 1063–1074  isi  scopus 4
2020
21. S. A. Kashchenko, “Bifurcations in a delay logistic equation under small perturbations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 10,  47–64  mathnet; Russian Math. (Iz. VUZ), 64:10 (2020), 43–58  isi  scopus 4
22. S. A. Kaschenko, D. O. Loginov, “Estimation of the region of global stability of the equilibrium state of the logistic equation with delay”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 9,  39–55  mathnet; Russian Math. (Iz. VUZ), 64:9 (2020), 34–49  isi  scopus 10
23. E. V. Grigorieva, S. A. Kashchenko, “Normalized boundary value problems in the model of optoelectronic oscillator delayed”, Izvestiya VUZ. Applied Nonlinear Dynamics, 28:4 (2020),  361–382  mathnet 3
24. S. D. Glyzin, S. A. Kaschenko, A. O. Tolbey, “Features of the algorithmic implementation of difference analogues of the logistic equation with delay”, Model. Anal. Inform. Sist., 27:3 (2020),  344–355  mathnet
25. S. D. Glyzin, S. A. Kashchenko, “Family of finite-dimensional maps induced by a logistic equation with a delay”, Matem. Mod., 32:3 (2020),  19–46  mathnet; Math. Models Comput. Simul., 12:6 (2020), 856–873 2
26. S. A. Kaschenko, “Local Dynamics of Chains of Van der Pol Coupled Systems”, Mat. Zametki, 108:6 (2020),  936–940  mathnet  mathscinet  elib; Math. Notes, 108:6 (2020), 901–905  isi  scopus 2
27. S. A. Kashchenko, D. O. Loginov, “Andronov–Hopf Bifurcation in Logistic Delay Equations with Diffusion and Rapidly Oscillating Coefficients”, Mat. Zametki, 108:1 (2020),  47–63  mathnet  mathscinet; Math. Notes, 108:1 (2020), 50–63 3
28. D. S. Kashchenko, S. A. Kashchenko, “Dynamics of a System of Two Simple Self-Excited Oscillators with Delayed Step-by-Step Feedback”, Rus. J. Nonlin. Dyn., 16:1 (2020),  23–43  mathnet  elib  scopus
29. S. A. Kaschenko, “Bifurcations in spatially distributed chains of two-dimensional systems of equations”, Uspekhi Mat. Nauk, 75:6(456) (2020),  171–172  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 75:6 (2020), 1153–1155  isi  scopus 4
30. S. A. Kashchenko, “Asymptotic behavior of rapidly oscillating solutions of the modified Camassa–Holm equation”, TMF, 203:1 (2020),  40–55  mathnet  elib; Theoret. and Math. Phys., 203:1 (2020), 469–482  isi  scopus 3
31. S. A. Kaschenko, “Asymptotics of regular solutions to the Camassa–Holm problem”, Zh. Vychisl. Mat. Mat. Fiz., 60:2 (2020),  253–266  mathnet  elib; Comput. Math. Math. Phys., 60:2 (2020), 258–271  isi  scopus 2
2019
32. S. D. Glyzin, S. A. Kashchenko, A. O. Tolbey, “Equations with the Fermi-Pasta-Ulam and dislocations nonlinearity”, Izvestiya VUZ. Applied Nonlinear Dynamics, 27:4 (2019),  52–70  mathnet  elib 1
33. I. S. Kashchenko, S. A. Kaschenko, “Dynamics of equation with two delays modelling the number of population”, Izvestiya VUZ. Applied Nonlinear Dynamics, 27:2 (2019),  21–38  mathnet  elib 2
34. S. A. Kashchenko, “Homogenization over the spatial variable in nonlinear parabolic systems”, Tr. Mosk. Mat. Obs., 80:1 (2019),  63–86  mathnet  elib; Trans. Moscow Math. Soc., 80 (2019), 53–71  scopus 3
35. S. A. Kashchenko, D. O. Loginov, “Bifurcations Due to the Variation of Boundary Conditions in the Logistic Equation with Delay and Diffusion”, Mat. Zametki, 106:1 (2019),  138–143  mathnet  mathscinet  elib; Math. Notes, 106:1 (2019), 136–141  isi  scopus 9
36. S. A. Kaschenko, “Asymptotics of rapidly oscillating solutions of the generalized Korteweg–de Vries–Burgers equation”, Uspekhi Mat. Nauk, 74:4(448) (2019),  181–182  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 74:4 (2019), 755–757  isi  scopus 3
2018
37. I. S. Kashchenko, S. A. Kashchenko, “Analysis of local dynamics of difference and close to them differential-difference equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 9,  29–41  mathnet; Russian Math. (Iz. VUZ), 62:9 (2018), 24–34  isi  scopus 4
38. S. A. Kashchenko, M. M. Preobrazhenskaya, “Bifurcations in the generalized Korteweg–de Vries equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 2,  54–68  mathnet; Russian Math. (Iz. VUZ), 62:2 (2018), 49–61  isi  scopus 3
39. S. A. Kashchenko, “Dynamics of two-component parabolic systems of Schrödinger type”, Izvestiya VUZ. Applied Nonlinear Dynamics, 26:5 (2018),  81–100  mathnet  elib 1
40. E. V. Grigoryeva, S. A. Kashchenko, D. V. Glazkov, “Features of the local dynamics of the opto-electronic oscillator model with delay”, Model. Anal. Inform. Sist., 25:1 (2018),  71–82  mathnet  elib
41. S. A. Kashchenko, “The simplest critical cases in the dynamics of nonlinear systems with small diffusion”, Tr. Mosk. Mat. Obs., 79:1 (2018),  97–115  mathnet  elib; Trans. Moscow Math. Soc., 2018, 85–100  scopus 7
42. S. A. Kashchenko, “Application of the Averaging Principle to the Study of the Dynamics of the Delay Logistic Equation”, Mat. Zametki, 104:2 (2018),  216–230  mathnet  mathscinet  elib; Math. Notes, 104:2 (2018), 231–243  isi  scopus 4
43. S. A. Kashchenko, “Regular and irregular solutions in the problem of dislocations in solids”, TMF, 195:3 (2018),  362–380  mathnet  mathscinet  elib; Theoret. and Math. Phys., 195:3 (2018), 807–824  isi  scopus 3
44. S. A. Kashchenko, “Dynamics of a delay logistic equation with slowly varying coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 58:12 (2018),  1999–2013  mathnet  elib; Comput. Math. Math. Phys., 58:12 (2018), 1926–1936  isi  scopus 1
2017
45. S. A. Kashchenko, “Stability of the solutions of the simplest space-distributed discrete equations”, Model. Anal. Inform. Sist., 24:5 (2017),  537–549  mathnet  elib
46. S. A. Kashchenko, “About bifurcations at small perturbations in a logistic equation with delay”, Model. Anal. Inform. Sist., 24:2 (2017),  168–185  mathnet  elib 3
47. S. A. Kashchenko, “Asymptotic of eigenvalues of periodic and antiperiodic boundary value problem for second order differential equations”, Model. Anal. Inform. Sist., 24:1 (2017),  13–30  mathnet  mathscinet  elib 1
48. S. A. Kashchenko, “Periodic Solutions of Nonlinear Equations Generalizing Logistic Equations with Delay”, Mat. Zametki, 102:2 (2017),  216–230  mathnet  mathscinet  elib; Math. Notes, 102:2 (2017), 181–192  isi  scopus 8
49. S. A. Kashchenko, “Bifurcations in Kuramoto–Sivashinsky equations”, TMF, 192:1 (2017),  23–40  mathnet  mathscinet  elib; Theoret. and Math. Phys., 192:1 (2017), 958–973  isi  scopus 6
50. S. A. Kashchenko, “Rapidly oscillating solutions of a generalized Korteweg–de Vries equation”, Zh. Vychisl. Mat. Mat. Fiz., 57:11 (2017),  1812–1823  mathnet  elib; Comput. Math. Math. Phys., 57:11 (2017), 1778–1788  isi  scopus 1
2016
51. S. D. Glyzin, S. A. Kashchenko, A. O. Tolbey, “Two wave interactions in a Fermi–Pasta–Ulam model”, Model. Anal. Inform. Sist., 23:5 (2016),  548–558  mathnet  mathscinet  elib 5
52. S. A. Kashchenko, “Asymptotic expansions of eigenvalues of periodic and antiperiodic boundary problems for singularly perturbed second order differential equation with turning points”, Model. Anal. Inform. Sist., 23:1 (2016),  61–85  mathnet  mathscinet  elib
53. S. A. Kashchenko, “Asymptotic expansions of eigenvalues of the first boundary problem for singularly perturbed second order differential equation with turning points”, Model. Anal. Inform. Sist., 23:1 (2016),  41–60  mathnet  mathscinet  elib 2
54. I. S. Kashchenko, S. A. Kashchenko, “Local dynamics of two-component singularly perturbed parabolic systems”, Tr. Mosk. Mat. Obs., 77:1 (2016),  67–82  mathnet  elib; Trans. Moscow Math. Soc., 77 (2016), 55–68  scopus 3
55. Sergey A. Kashchenko, “The Dynamics of Second-order Equations with Delayed Feedback and a Large Coefficient of Delayed Control”, Regul. Chaotic Dyn., 21:7-8 (2016),  811–820  mathnet  isi  scopus 3
2015
56. S. A. Kaschenko, “Asymptotics of eigenvalues of first boundary value problem for singularly pertubed second-order differential equation with turning points”, Model. Anal. Inform. Sist., 22:5 (2015),  682–710  mathnet  mathscinet  elib 5
57. S. V. Aleshin, S. D. Glyzin, S. A. Kaschenko, “Dynamical properties of the Fisher–Kolmogorov–Petrovskii–Piscounov equation with deviation of the spatial variable”, Model. Anal. Inform. Sist., 22:5 (2015),  609–628  mathnet  mathscinet  elib 2
58. N. D. Bykova, S. A. Kaschenko, “Corporate dynamics of systems of logistic delay equations with large delay control”, Model. Anal. Inform. Sist., 22:3 (2015),  372–391  mathnet  mathscinet  elib
59. S. V. Aleshin, S. D. Glyzin, S. A. Kaschenko, “Fisher–Kolmogorov–Petrovskii–Piscounov equation with delay”, Model. Anal. Inform. Sist., 22:2 (2015),  304–321  mathnet  mathscinet  elib 5
60. S. A. Kashchenko, “Dynamics of the Logistic Equation with Delay”, Mat. Zametki, 98:1 (2015),  85–100  mathnet  mathscinet  elib; Math. Notes, 98:1 (2015), 98–110  isi  scopus 11
61. I. S. Kashchenko, S. A. Kashchenko, “Dynamics of strongly coupled spatially distributed logistic equations with delay”, Zh. Vychisl. Mat. Mat. Fiz., 55:4 (2015),  610–620  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 55:4 (2015), 607–617  isi  elib  scopus 3
2014
62. I. S. Kashchenko, S. A. Kaschenko, “Local dynamics of difference and difference-differential equations”, Izvestiya VUZ. Applied Nonlinear Dynamics, 22:1 (2014),  71–92  mathnet 1
63. S. A. Kashchenko, “The dynamics of the logistic equation with delay and delayed control”, Model. Anal. Inform. Sist., 21:5 (2014),  61–77  mathnet 3
64. S. A. Kaschenko, V. E. Frolov, “Asymptotics of a Steady-State Condition of Finite-Difference Approximation of a Logistic Equation with Delay and Small Diffusion”, Model. Anal. Inform. Sist., 21:1 (2014),  94–114  mathnet 2
65. S. V. Aleshin, S. A. Kaschenko, “Local Dynamics of a Logistic Equation with Delay”, Model. Anal. Inform. Sist., 21:1 (2014),  73–88  mathnet
66. I. S. Kashchenko, S. A. Kashchenko, “Local dynamics of an equation with large delay and distributed deviation of the space variable”, Sibirsk. Mat. Zh., 55:2 (2014),  315–323  mathnet  mathscinet; Siberian Math. J., 55:2 (2014), 254–261  isi  scopus 3
67. D. S. Glyzin, S. A. Kashchenko, “Spatially distributed control of the dynamics of the logistic delay equation”, Zh. Vychisl. Mat. Mat. Fiz., 54:6 (2014),  953–968  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 54:6 (2014), 963–976  isi  elib  scopus
68. I. S. Kashchenko, S. A. Kashchenko, “Dynamics of the logistic delay equation with a large spatially distributed control coefficient”, Zh. Vychisl. Mat. Mat. Fiz., 54:5 (2014),  766–778  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 54:5 (2014), 785–796  isi  elib  scopus 3
2013
69. S. A. Kaschenko, E. V. Grigorieva, “Local Dynamics of a Laser with Rapidly Oscillating Parameters”, Model. Anal. Inform. Sist., 20:5 (2013),  45–61  mathnet
70. S. A. Kaschenko, “Relaxation Oscillations in Models of Multi-Species Biocenose”, Model. Anal. Inform. Sist., 20:5 (2013),  5–24  mathnet
71. N. D. Bykova, S. D. Glyzin, S. A. Kaschenko, “Parametric Resonance in the Logistic Equation with Delay under a Two-Frequency Perturbation”, Model. Anal. Inform. Sist., 20:3 (2013),  86–98  mathnet 3
72. S. A. Kashchenko, “Relaxation Oscillations in a System with Delays Modeling the Predator–Prey Problem”, Model. Anal. Inform. Sist., 20:1 (2013),  52–98  mathnet 6
73. E. V. Grigorieva, I. S. Kashchenko, S. A. Kashchenko, “Quasinormal Forms for Lang–Kobayashi Equations with a Large Control Coefficient”, Model. Anal. Inform. Sist., 20:1 (2013),  18–29  mathnet 1
2012
74. D. S. Glyzin, S. A. Kaschenko, “Dynamics of a Complex Spatially Distributed Hutchinson Equation”, Model. Anal. Inform. Sist., 19:5 (2012),  35–39  mathnet
75. S. A. Kaschenko, “Stationary States of a Delay Differentional Equation of Insect Population's Dynamics”, Model. Anal. Inform. Sist., 19:5 (2012),  18–34  mathnet 8
76. S. A. Kaschenko, “Asymptotics of Solutions of the Generalized Hutchinson's Equation”, Model. Anal. Inform. Sist., 19:3 (2012),  32–61  mathnet 16
77. I. S. Kashchenko, S. A. Kashchenko, “The dynamics of Kuramoto equation with spatially-distributed control”, Model. Anal. Inform. Sist., 19:1 (2012),  24–35  mathnet 1
78. S. A. Kashchenko, A. S. Polstyanov, “The asymptotic of periodic solutions of autonomous parabolic equations with rapidly oscillating coefficients and equations with large diffusion coefficients”, Model. Anal. Inform. Sist., 19:1 (2012),  7–23  mathnet 1
79. I. S. Kashchenko, S. A. Kashchenko, “Quasi-normal forms for parabolic systems with strong nonlinearity and weak diffusion”, Zh. Vychisl. Mat. Mat. Fiz., 52:8 (2012),  1482–1491  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 52:8 (2012), 1163–1172  isi  elib  scopus 5
2011
80. S. A. Kashchenko, “Principal quasinormal forms for two-component systems of parabolic equations”, Model. Anal. Inform. Sist., 18:3 (2011),  12–20  mathnet
81. D. S. Glyzin, S. A. Kashchenko, A. S. Polst'yanov, “Spatially inhomogeneous periodic solutions in the Hutchinson equation with distributed saturation”, Model. Anal. Inform. Sist., 18:1 (2011),  37–45  mathnet 1
82. S. A. Kashchenko, “Dynamics of a quasi-linear boundary problem generalizing the equation with large delay”, Model. Anal. Inform. Sist., 18:1 (2011),  28–31  mathnet
2010
83. D. V. Glazkov, S. A. Kashchenko, “Local dynamics of DDE with large delay in the vicinity of the self-similar cycle”, Model. Anal. Inform. Sist., 17:3 (2010),  38–47  mathnet 2
84. E. V. Grigorieva, I. S. Kashchenko, S. A. Kashchenko, “Multistability in a laser model with large delay”, Model. Anal. Inform. Sist., 17:2 (2010),  17–27  mathnet 3
2009
85. S. D. Glyzin, S. A. Kashchenko, A. S. Polstyanov, “Spatially inhomogeneous periodic solutions in distributed Hutchinson equation”, Model. Anal. Inform. Sist., 16:4 (2009),  77–85  mathnet 3
2008
86. S. A. Kashchenko, V. V. Maiorov, M. L. Myachin, “Complex oscillation in systems of two and three spiking neurons”, Model. Anal. Inform. Sist., 15:2 (2008),  72–74  mathnet
87. S. A. Kashchenko, A. S. Polst'yanov, “Relaxation oscillations in the simplest models with delay”, Model. Anal. Inform. Sist., 15:2 (2008),  55–60  mathnet
2001
88. T. S. Achromeeva, M. A. Kapustin, S. A. Kashchenko, P. V. Kurakin, G. G. Malinetskii, I. G. Medvedev, N. A. Mitin, Yu. N. Orlov, A. V. Podlazov, S. A. Posashkov, A. I. Rusakov, D. V. Serebryakov, S. A. Solov'ev, D. S. Chernavskii, “New researches in systems analysis and computation modeling of Russian educational strategy and politics”, Keldysh Institute preprints, 2001, 089  mathnet
2000
89. S. A. Kashchenko, “Bifurcations in the neighborhood of a cycle under small perturbations with a large delay”, Zh. Vychisl. Mat. Mat. Fiz., 40:5 (2000),  693–702  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 40:5 (2000), 659–668 15
1999
90. S. A. Kashchenko, “Local dynamics of nonlinear singularly perturbed systems with delay”, Differ. Uravn., 35:10 (1999),  1343–1355  mathnet  mathscinet; Differ. Equ., 35:10 (1999), 1360–1373 12
91. S. A. Kashchenko, “Dynamics of equations with feedback of impulse type”, Differ. Uravn., 35:7 (1999),  889–898  mathnet  mathscinet; Differ. Equ., 35:7 (1999), 896–904
92. S. A. Kashchenko, “Asymptotic analysis of the auto-generators dynamics with different non-linear delay feedback”, Fundam. Prikl. Mat., 5:4 (1999),  1027–1060  mathnet  mathscinet  zmath 3
93. S. A. Kashchenko, “Bifurcation peculiarities of a singularly perturbed equation with delay”, Sibirsk. Mat. Zh., 40:3 (1999),  567–572  mathnet  mathscinet  zmath; Siberian Math. J., 40:3 (1999), 483–487  isi 5
1998
94. S. A. Kashchenko, “The Ginzburg–Landau equation as a normal form for a second-order difference-differential equation with a large delay”, Zh. Vychisl. Mat. Mat. Fiz., 38:3 (1998),  457–465  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:3 (1998), 443–451 49
1997
95. S. A. Kashchenko, V. V. Maiorov, I. Yu. Myshkin, “Wave structures in ring neuron systems”, Matem. Mod., 9:3 (1997),  29–39  mathnet  mathscinet  zmath 1
1995
96. S. A. Kaschenko, V. V. Maiorov, M. L. Myachin, “Oscillations in systems of equations with delay and difference diffusion that model local neural networks”, Dokl. Akad. Nauk, 344:3 (1995),  319–322  mathnet  mathscinet  zmath
97. S. A. Kaschenko, V. V. Maiorov, “Wave structures in ring systems of homogeneous neuron modules”, Dokl. Akad. Nauk, 342:3 (1995),  318–321  mathnet  mathscinet  zmath
98. S. A. Kashchenko, “Asymptotics of relaxation oscillations in systems of differential-difference equations with a compactly supported nonlinearity. II”, Differ. Uravn., 31:12 (1995),  1968–1976  mathnet  mathscinet; Differ. Equ., 31:12 (1995), 1938–1946 4
99. S. A. Kashchenko, “Asymptotics of relaxation oscillations in systems of differential-difference equations with a compactly supported nonlinearity. I”, Differ. Uravn., 31:8 (1995),  1330–1339  mathnet  mathscinet  zmath; Differ. Equ., 31:8 (1995), 1275–1285 7
100. E. V. Grigoryeva, S. A. Kashchenko, “Poincaré mappings in laser models with periodic modulation of the parameters”, Differ. Uravn., 31:1 (1995),  16–22  mathnet  mathscinet; Differ. Equ., 31:1 (1995), 12–17
101. S. A. Kashchenko, V. V. Maiorov, I. Yu. Myshkin, “Wave distribution in simplest ring neural structures”, Matem. Mod., 7:12 (1995),  3–18  mathnet  mathscinet  zmath 1
1994
102. S. A. Kashchenko, “The construction of normalized systems for investigating the dynamics of hybrid and hyperbolic equations”, Zh. Vychisl. Mat. Mat. Fiz., 34:4 (1994),  564–575  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 34:4 (1994), 479–489  isi 6
1993
103. S. A. Kaschenko, V. V. Maiorov, I. Yu. Myshkin, “Investigation of oscillations in ring neural structures”, Dokl. Akad. Nauk, 333:5 (1993),  594–597  mathnet  mathscinet  zmath; Dokl. Math., 38:12 (1993), 483–485 1
104. A. S. Dmitriev, S. A. Kaschenko, “Asymptotics of nonregular oscillations in a model of a self-induced generator with delayed feedback”, Dokl. Akad. Nauk, 328:2 (1993),  174–177  mathnet  mathscinet  zmath 4
105. S. A. Kashchenko, V. V. Maiorov, “On a differential-difference equation modeling neuron impulse activity”, Matem. Mod., 5:12 (1993),  13–25  mathnet  mathscinet  zmath 13
1992
106. S. A. Kashchenko, “Rapidly oscillating traveling waves in systems with small diffusion”, Differ. Uravn., 28:2 (1992),  254–262  mathnet  mathscinet; Differ. Equ., 28:2 (1992), 218–225 1
1991
107. E. V. Grigor'eva, S. A. Kaschenko, “Asymptotic investigation of multistability phenomena in laser models with opto-electronic feedback”, Dokl. Akad. Nauk SSSR, 316:2 (1991),  327–331  mathnet  mathscinet; Dokl. Math., 36:1 (1991), 35–38
108. E. V. Grigoryeva, S. A. Kashchenko, “Relaxation oscillations in a system of equations describing the operation of a solid-state laser with a nonlinear element of delaying action”, Differ. Uravn., 27:5 (1991),  752–758  mathnet  mathscinet  zmath; Differ. Equ., 27:5 (1991), 506–512
109. S. A. Kashchenko, “Asymptotic form of spatially non-uniform structures in coherent nonlinear optical systems”, Zh. Vychisl. Mat. Mat. Fiz., 31:3 (1991),  467–473  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 31:3 (1991), 97–102  isi 17
1990
110. S. A. Kaschenko, “The local dynamics of two-component contrast structures in the neighborhood of a bifurcation point”, Dokl. Akad. Nauk SSSR, 312:2 (1990),  345–350  mathnet  mathscinet; Dokl. Math., 35:5 (1990), 420–422 3
111. S. A. Kashchenko, “Spatial heterogeneous structures in the simplest models with delay and diffusion”, Matem. Mod., 2:9 (1990),  49–69  mathnet  mathscinet  zmath 11
112. E. V. Grigoryeva, S. A. Kashchenko, N. A. Loiko, A. M. Samson, “Application of asymptotic methods for investigation of stationary regimes of generation in lasers with delay element”, Matem. Mod., 2:4 (1990),  97–120  mathnet  mathscinet  zmath 1
113. E. V. Grigor'eva, S. A. Kaschenko, N. A. Loiko, A. M. Samson, “Multistability and chaos in a negative-feedback laser”, Kvantovaya Elektronika, 17:8 (1990),  1023–1028  mathnet [Sov J Quantum Electron, 20:8 (1990), 938–943  isi] 3
114. S. A. Kashchenko, “Asymptotic behaviour of rapidly oscillating contrasting spatial structures”, Zh. Vychisl. Mat. Mat. Fiz., 30:2 (1990),  254–269  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 30:1 (1990), 186–197 4
1989
115. S. A. Kaschenko, “Short-wave bifurcations in systems with small diffusion”, Dokl. Akad. Nauk SSSR, 307:2 (1989),  269–273  mathnet  mathscinet  zmath; Dokl. Math., 40:1 (1990), 54–58 2
116. S. A. Kaschenko, “Complex periodic solutions of a system of differential-difference equations with small diffusion”, Dokl. Akad. Nauk SSSR, 306:1 (1989),  35–38  mathnet  mathscinet  zmath; Dokl. Math., 39:3 (1989), 442–445 1
117. S. A. Kashchenko, “Application of the normalization method to the study of the dynamics of a differential-difference equation with a small factor multiplying the derivative”, Differ. Uravn., 25:8 (1989),  1448–1451  mathnet  mathscinet  zmath 30
118. S. A. Kashchenko, “Spatial singularities of high-mode bifurcations of two-component systems with small diffusion”, Differ. Uravn., 25:2 (1989),  262–270  mathnet  mathscinet; Differ. Equ., 25:2 (1989), 193–199 13
1988
119. S. A. Kaschenko, “Quasinormal forms for parabolic equations with small diffusion”, Dokl. Akad. Nauk SSSR, 299:5 (1988),  1049–1052  mathnet  mathscinet  zmath; Dokl. Math., 37:2 (1988), 510–513 28
120. S. A. Kashchenko, “On miniversal deformations of matrices”, Uspekhi Mat. Nauk, 43:1(259) (1988),  201–202  mathnet  mathscinet  zmath; Russian Math. Surveys, 43:1 (1988), 241–242  isi 3
1987
121. S. A. Kashchenko, “Steady regimes of the Hutchinson equation with diffusion”, Dokl. Akad. Nauk SSSR, 292:2 (1987),  327–330  mathnet  mathscinet 9
122. S. A. Kashchenko, “Investigation of the asymptotic behavior of periodic solutions of autonomous parabolic equations by methods of the larger parameter”, Differ. Uravn., 23:2 (1987),  283–292  mathnet  mathscinet 1
1986
123. A. B. Vasil'eva, S. A. Kashchenko, Yu. S. Kolesov, N. Kh. Rozov, “Bifurcation of self-oscillations of nonlinear parabolic equations with small diffusion”, Mat. Sb. (N.S.), 130(172):4(8) (1986),  488–499  mathnet  mathscinet  zmath; Math. USSR-Sb., 58:2 (1987), 491–503 29
124. S. A. Kaschenko, “Asymptotics of periodic solutions of autonomous parabolic equations with small diffusion”, Sibirsk. Mat. Zh., 27:6 (1986),  116–127  mathnet  mathscinet  zmath; Siberian Math. J., 27:6 (1986), 880–889  isi 5
1985
125. S. A. Kashchenko, Yu. S. Kolesov, “Diffusion instability of a torus”, Dokl. Akad. Nauk SSSR, 281:6 (1985),  1307–1309  mathnet  mathscinet  zmath 2
126. S. A. Kashchenko, “Optimization of the hunting process”, Differ. Uravn., 21:10 (1985),  1706–1709  mathnet  mathscinet 1
1983
127. S. A. Kashchenko, “Stationary modes of an equation describing fluctuations of an insect population”, Dokl. Akad. Nauk SSSR, 273:2 (1983),  328–330  mathnet  mathscinet  zmath 7
1982
128. S. A. Kashchenko, “Investigation, by large parameter methods, of a system of nonlinear differential-difference equations modeling a predator-prey problem”, Dokl. Akad. Nauk SSSR, 266:4 (1982),  792–795  mathnet  mathscinet  zmath 14
1980
129. S. A. Kaschenko, Yu. S. Kolesov, “Parametric resonance in systems with lag under two-frequency perturbation”, Sibirsk. Mat. Zh., 21:2 (1980),  113–118  mathnet  mathscinet  zmath; Siberian Math. J., 21:2 (1980), 231–235  isi 4
1974
130. S. A. Kashchenko, Yu. S. Kolesov, “A test for the stability of the solutions of singularly perturbed second order equations with periodic coefficients”, Uspekhi Mat. Nauk, 29:4(178) (1974),  171–172  mathnet  mathscinet  zmath 1
2012
131. D. V. Anosov, V. S. Afraimovich, L. A. Bunimovich, S. V. Gonchenko, V. Z. Grines, Yu. S. Ilyashenko, A. B. Katok, S. A. Kashchenko, V. V. Kozlov, L. M. Lerman, A. D. Morozov, A. I. Neishtadt, Ya. B. Pesin, A. M. Samoilenko, Ya. G. Sinai, D. V. Treschev, D. V. Turaev, A. N. Sharkovskii, A. L. Shil'nikov, “Leonid Pavlovich Shil'nikov (obituary)”, Uspekhi Mat. Nauk, 67:3(405) (2012),  175–178  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 67:3 (2012), 573–577  isi
2010
132. E. Grigorieva, S. Kaschenko, “Dynamics of spikes in delay coupled semiconductor lasers”, Regul. Chaotic Dyn., 15:2-3 (2010),  319–327  mathnet  mathscinet  zmath 4

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Hamiltonian systems and statistical mechanics
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S. A. Kaschenko

November 8, 2022 15:30
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S. A. Kaschenko, A. O. Tolbey
International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko
June 9, 2022 18:50
4. Relaxation oscillations in a second-order equation with delayed feedback
S. A. Kaschenko
International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko
June 8, 2022 17:00   
5. Irregular solutions in the spatially distributed Fermi-Pasta-Ulam problem
S. A. Kaschenko
Regular and Chaotic Dynamics
November 25, 2021 12:20   
6. Динамика моделей на основе логистического уравнения с запаздыванием
S. A. Kaschenko

August 9, 2021 14:50
7. Региональный научно-образовательный математический центр «Центр интегрируемых систем»
S. A. Kaschenko, A. V. Mikhailov
General Meeting of the Branch of Mathematical Sciences, RAS, 2021
April 19, 2021 12:40   
8. Взаимодействие волн в задаче Ферми-Паста-Улама
S. A. Kashchenko
Seminar of the Department of Mechanics
February 8, 2016 12:00

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