Investigation of classical, relativistic and quantum kinetic equations, examination of their properties and regions of applicability for various physical systems. The Post-Galilean statistical mechanics and hydrodynamics in Lagrange and Hamilton variables has been constructed for the systems with retardation of interaction with the use of correct investigation of Legendre transformation. The general linear quantization is consructed for the Post-Galilean dynamical systems. The density matrix and Wigner function were examined in the neighborhood of Lagrangian singular points. The class of two-dimensional integrable dynamical systems is constructed and linearly quantized. Only for Weil quantization there exist one of the representatives, which remains integrable in quantum case. The class of polynomial Hamiltonians, modelling the scattering processes in problems of quantum optics, has been classified with respect to linear conservation laws in terms of number operators. The non-classical special polynomials were introduced for precise asymtotic spectrum analysis. The generalized coherence states representation is constructed for non-classical commutation relations. The existence of covariant symbols of vectors and operators has been proved for this representation. The kinetic equations method is applied to the cocial systems, for the problems of demography, economy and ecology. The non-linear models of evolution of non-uniform populations were constructed and theoretically and numerically examined for the assimilation task. In particularly, the long-time prediction of demography situation in Russia is constructed.
Biography
Ph.D. in Mathematical Physics Keldysh Institute of Applied Mathematics Russian Academy of Sciences, Moscow, January, 1993 M.S. in Physics MPhTI — Moscow Institute of Physics and Technology, Moscow, June, 1987 Experience in Academy of Sciences of Russia 1996 — present Senior Scientist of the Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow (the position in Academy of Sciences is equivalent to the reader position in University) 1993 Candidate of Sciences in Mathematics and Physics, the degree was awarded by the Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow. Teaching experience 1996.
Main publications:
Quantum BBGKY Hierarchies and Wigner Equation in Postgalilean Approximation (with I. P.Pavlotsky) // Physica A, 158 (1989), 607–618.
Equilibrium Postgalilean BBGKY Hierarchies (with I. P. Pavlotsky) // Dokl. Akad. Nauk SSSR, 304 (1989), 329–332.
Special Polynomials in Problems of Quantum Optics (with V. V. Vedenyapin) // Modern Physics Letters B, 9, no. 5 (1995), 291–298.
Conservation laws for Polynomial Quantum Hamiltonians (with O. V. Mingalev and V. V. Vedenyapin) // Physics Letters A, 223 (1996), 246–250.
M. Yu. Kislitsyna, Yu. N. Orlov, “The structure of errors in recognizing the author of the text by the trigram method”, Keldysh Institute preprints, 2024, 060, 24 pp.
2.
Yu. N. Orlov, T. V. Sivakova, “The model for assessing the significance of side effects in the use of several drugs”, Keldysh Institute preprints, 2024, 037, 24 pp.
3.
M. Yu. Kislitsyna, Yu. N. Orlov, “Statistical analysis of the complete corpus of fiction in Russian and recognition of the author”, Keldysh Institute preprints, 2024, 017, 24 pp.
M. Yu. Kislitsyna, Yu. N. Orlov, “The distribution of ordinal frequencies of consonants as an invariant of a language group”, Keldysh Institute preprints, 2024, 016, 18 pp.
5.
R. Sh. Kalmetev, Yu. N. Orlov, V. Zh. Sakbaev, “Generalized Coherent States and Random Shift Operators”, Trudy Mat. Inst. Steklova, 324 (2024), 124–131; Proc. Steklov Inst. Math., 324 (2024), 115–122
6.
V. M. Busovikov, Yu. N. Orlov, V. Zh. Sakbaev, “Unitary representation of walks along random vector fields and the Kolmogorov–Fokker–Planck equation in a Hilbert space”, TMF, 218:2 (2024), 238–257; Theoret. and Math. Phys., 218:2 (2024), 205–221
2023
7.
L. V. Aleksandrova, M. Yu. Kislitsyna, Yu. N. Orlov, “Methods of finding relationships in the processing of psychological tests”, Keldysh Institute preprints, 2023, 011, 18 pp.
R. Sh. Kalmetev, Yu. N. Orlov, V. Zh. Sakbaev, “Averaging of random affine transformations of functions domain”, Ufimsk. Mat. Zh., 15:2 (2023), 55–64; Ufa Math. J., 15:2 (2023), 55–64
M. Yu. Voronina, Yu. N. Orlov, “Identification of the author of the text by segmentation method”, Computer Research and Modeling, 14:5 (2022), 1199–1210
N. A. Volkov, D. I. Dmitriev, M. E. Zhukovskii, J. Gough, Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, I. I. Bogdanov, O. R. Grigoryan, V. A. Alekseev, Yu. G. Smetanin, M. G. Amaglobeli, A. G. Myasnikov, V. N. Remeslennikov, “Erratum to: Several Articles in Doklady Mathematics”, Dokl. RAN. Math. Inf. Proc. Upr., 506 (2022), 402–403; Dokl. Math., 106:2 (2022), 402–403
11.
J. E. Gough, Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, “Markov approximations of the evolution of quantum systems”, Dokl. RAN. Math. Inf. Proc. Upr., 503 (2022), 48–53; Dokl. Math., 105:2 (2022), 92–96
Yu. N. Orlov, V. O. Solovyev, “To the accuracy estimation of the high intensive flows of experimental data”, Keldysh Institute preprints, 2022, 083, 24 pp.
13.
M. Yu. Voronina, A. A. Kislitsyn, Yu. N. Orlov, “Two-factor patterns construction in problems of texts classification”, Keldysh Institute preprints, 2022, 043, 24 pp.
V. T. Zhukov, A. V. Koldomov, Yu. N. Orlov, M. A. Shakhramanyan, “The concept of creating an automated system of aerospace monitoring of forest fires”, Keldysh Institute preprints, 2022, 024, 18 pp.
15.
M. Yu. Voronina, A. A. Kislitsyn, Yu. N. Orlov, “Algorithm of the correction of bigram method for the problem of the text author identification”, Matem. Mod., 34:9 (2022), 3–20; Math. Models Comput. Simul., 15:2 (2023), 245–254
R. Sh. Kalmetiev, Yu. N. Orlov, V. Zh. Sakbaev, “Chernoff iterations as an averaging method for random affine transformations”, Zh. Vychisl. Mat. Mat. Fiz., 62:6 (2022), 1030–1041; Comput. Math. Math. Phys., 62:6 (2022), 996–1006
J. E. Gough, Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, “Random quantization of Hamiltonian systems”, Dokl. RAN. Math. Inf. Proc. Upr., 498 (2021), 31–36; Dokl. Math., 103:3 (2021), 122–126
A. A. Kislitsyn, Yu. N. Orlov, “Model for the evolution of the degree distributions of the vertices of social network graphs”, Matem. Mod., 33:9 (2021), 3–21; Math. Models Comput. Simul., 14:2 (2022), 270–280
22.
L. A. Borisov, Yu. N. Orlov, “On the Inversion Formula of Linear Quantization and the Evolution Equation for the Wigner Function”, Trudy Mat. Inst. Steklova, 313 (2021), 23–32; Proc. Steklov Inst. Math., 313 (2021), 17–26
2020
23.
G. V. Danilov, V. V. Zhukov, A. S. Kulikov, E. S. Makashova, N. A. Mitin, Yu. N. Orlov, “Comparative analysis of statistical methods of scientific publications classification in medicine”, Computer Research and Modeling, 12:4 (2020), 921–933
L. V. Klochkova, Yu. N. Orlov, V. F. Tishkin, “Mathematical modeling of stochastic processes of virus propagation in the human environment”, Keldysh Institute preprints, 2020, 114, 17 pp.
Yu. N. Orlov, “Evolution equation for Wigner function for linear quantization”, Keldysh Institute preprints, 2020, 040, 22 pp.
27.
A. Yu. Ivchenko, Yu. N. Orlov, E. V. Fomina, “Indicators of stability of locomotor functions of cosmonauts”, Keldysh Institute preprints, 2020, 038, 24 pp.
28.
M. Yu. Voronina, Yu. N. Orlov, “On the statistical analysis of psychology testing results”, Keldysh Institute preprints, 2020, 029, 28 pp.
M. B. Gavrikov, A. A. Kislitsyn, Yu. N. Orlov, A. O. Kambarov, D. B. Nikitjuk, V. A. Tutelyan, “Numerical personal threpsology: the problems and solutions”, Keldysh Institute preprints, 2020, 025, 36 pp.
A. A. Kislitsin, Yu. N. Orlov, “Modeling evolution sample distributions of random quantities by the equation of Liuville”, Matem. Mod., 32:1 (2020), 111–128; Math. Models Comput. Simul., 12:5 (2020), 747–756
33.
S. Z. Adzhiev, Ya. G. Batishcheva, V. V. Vedenyapin, Yu. A. Volkov, V. V. Kazantseva, I. V. Melikhov, M. A. Negmatov, Yu. N. Orlov, N. N. Fimin, V. M. Chechetkin, “S.K. Godunov and kinetic theory at the Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences”, Zh. Vychisl. Mat. Mat. Fiz., 60:4 (2020), 621–625; Comput. Math. Math. Phys., 60:4 (2020), 610–614
M. B. Gavrikov, A. A. Kislitsyn, Yu. N. Orlov, N. V. Pestryakova, “Computational aspects of the problems of digital nutrition”, Keldysh Institute preprints, 2019, 136, 16 pp.
M. Yu. Voronina, N. Yu. Lysova, D. S. Ivanov, Yu. N. Orlov, E. V. Fomina, “Variability of locomotor strategy of cosmonauts at different stages of long-term space flight”, Keldysh Institute preprints, 2019, 091, 19 pp.
I. E. Ilin, Yu. N. Orlov, “Statistical recognition of the dynamical systems with chaotic perturbation”, Keldysh Institute preprints, 2019, 037, 24 pp.
38.
N. N. Fimin, V. M. Chechetkin, Yu. N. Orlov, “Wave packet dynamics in the vicinity of black hole "apparent horizon"”, Matem. Mod., 31:5 (2019), 103–120; Math. Models Comput. Simul., 12:1 (2020), 1–11
39.
N. N. Fimin, Yu. N. Orlov, V. M. Chechetkin, “Analytical investigation of massive particles dynamics in Kruskal metric”, Matem. Mod., 31:3 (2019), 55–68; Math. Models Comput. Simul., 11:5 (2019), 850–857
40.
Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, “Feynman Formulas and the Law of Large Numbers for Random One-Parameter Semigroups”, Trudy Mat. Inst. Steklova, 306 (2019), 210–226; Proc. Steklov Inst. Math., 306 (2019), 196–211
A. A. Kislitsyn, Yu. N. Orlov, “Structure of semantic connections of words of the Russian explanatory dictionary”, Keldysh Institute preprints, 2018, 252, 28 pp.
E. A. Zabrodina, Yu. N. Orlov, V. O. Soloviev, “The detonation wave propagation modeling in a cylindrical channel”, Keldysh Institute preprints, 2018, 180, 14 pp.
43.
A. Yu. Ivchenko, A. A. Kislitsyn, Yu. N. Orlov, “SIR distribution for dynamical system trajectories on the example of underground tube”, Keldysh Institute preprints, 2018, 155, 21 pp.
44.
A. A. Kislitsyn, A. B. Kozlova, M. B. Korsakova, E. L. Masherov, Yu. N. Orlov, “Stationary point of significance level for non-stationary distribution functions”, Keldysh Institute preprints, 2018, 113, 20 pp.
Yu. N. Orlov, “On the commutation of quantum operators of the first integrals of Hamiltonian systems”, Keldysh Institute preprints, 2018, 018, 15 pp.
46.
Yu. N. Orlov, A. A. Russkov, Yu. V. Gaidamaka, K. E. Samouylov, “On the distribution of the time of the first communication release in wireless networks with caching”, Matem. Mod., 30:8 (2018), 131–142; Math. Models Comput. Simul., 11:2 (2019), 321–327
47.
L. V. Klochkova, Yu. N. Orlov, R. V. Pleshakov, “Kinetic equation for simulation of non-stationary non-equidistant time-series”, Zhurnal SVMO, 20:1 (2018), 78–87
Yu. N. Orlov, V. Zh. Sakbaev, “Feynman–Chernoff iterations and their applications in quantum dynamics”, Trudy Mat. Inst. Steklova, 301 (2018), 209–218; Proc. Steklov Inst. Math., 301 (2018), 197–206
Yu. V. Gaidamaka, Yu. N. Orlov, D. A. Molchanov, A. K. Samuylov, “Modeling the signal-to-interference ratio in a mobile network with moving devices”, Inform. Primen., 11:2 (2017), 50–58
A. A. Kislitsyn, A. B. Kozlova, E. L. Masherov, Yu. N. Orlov, “Numerical algorithm for self-consistent stationary level for multidimensional non-stationary time-series”, Keldysh Institute preprints, 2017, 124, 14 pp.
L. A. Borisov, A. Yu. Ivchenko, N. A. Mitin, Yu. N. Orlov, “Classification of text information with the use of bigram analysis”, Keldysh Institute preprints, 2017, 106, 22 pp.
E. A. Zabrodina, Yu. N. Orlov, V. O. Soloviev, N. M. Ovchinnikov, M. S. Kelner, “The model of electric initiation of detonation in a detonator channel”, Keldysh Institute preprints, 2017, 072, 17 pp.
A. Yu. Ivchenko, A. B. Kozlova, M. B. Korsakova, E. L. Masherov, Yu. N. Orlov, A. A. Russkov, “Non-stationary analysis of electroencephalogram and disorder indicator construction”, Keldysh Institute preprints, 2017, 049, 19 pp.
54.
N. I. Bliankinshtein, Yu. N. Orlov, M. V. Rodkin, S. L. Fedorov, “On the estimation of stationary level of earthquake catalogs”, Keldysh Institute preprints, 2017, 040, 18 pp.
55.
Yu. N. Orlov, R. V. Pleshakov, “Numerical simulation of non-stationary non-equidistant time-series modeling”, Keldysh Institute preprints, 2017, 036, 15 pp.
56.
Yu. N. Orlov, S. A. Shilin, “Statistical text language recognition with the use of $n$-gram frequency”, Keldysh Institute preprints, 2017, 032, 21 pp.
57.
Yu. N. Orlov, Yu. A. Parfenova, “Ontological graph structure analysis for dictionary”, Keldysh Institute preprints, 2017, 031, 25 pp.
A. I. Aptekarev, M. A. Lapik, Yu. N. Orlov, “Asymptotic behavior of the spectrum of combination scattering at Stokes phonons”, TMF, 193:1 (2017), 84–103; Theoret. and Math. Phys., 193:1 (2017), 1480–1497
2016
60.
Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, “Unbounded random operators and Feynman formulae”, Izv. RAN. Ser. Mat., 80:6 (2016), 141–172; Izv. Math., 80:6 (2016), 1131–1158
Yu. N. Orlov, S. L. Fedorov, “Functional distributions modeling over trajectories ensemble of non-stationary time series”, Keldysh Institute preprints, 2016, 101, 14 pp.
E. A. Zabrodina, Yu. N. Orlov, V. O. Soloviev, N. M. Ovchinnikov, “On the models of detonation in a cylindrical channel”, Keldysh Institute preprints, 2016, 096, 17 pp.
R. S. Kalmetev, Yu. N. Orlov, “Uncertainty analysis of deterministic models with Gaussian process approximation”, Keldysh Institute preprints, 2016, 091, 20 pp.
64.
A. A. Arutyunov, L. A. Borisov, D. A. Zeniuk, A. Yu. Ivchenko, E. P. Kirina-Lilinskaya, Yu. N. Orlov, K. P. Osminin, S. L. Fedorov, S. A. Shilin, “Statistical regularity of European languages and Voynich Manuscript analysis”, Keldysh Institute preprints, 2016, 052, 36 pp.
V. M. Chechetkin, V. F. Dyachenko, S. L. Ginzburg, Yu. N. Orlov, N. N. Fimin, “The modeling of collisionless ultrarelativistic electron–proton plasma dynamics in self–consistent electromagnetic field”, Keldysh Institute preprints, 2016, 012, 19 pp.
67.
E. P. Kirina-Lilinskaya, Yu. N. Orlov, S. L. Fedorov, “The basis patterns method for non-stationary time-series analysis”, Keldysh Institute preprints, 2016, 007, 20 pp.
D. A. Zenyuk, L. V. Klochkova, Yu. N. Orlov, “Simulation of nonstationary random processes kinetic equations with fractional derivatives.”, Zhurnal SVMO, 18:2 (2016), 125–133
L. V. Klochkova, Yu. N. Orlov, S. A. Feodorov, “Modeling of a non-stationary trajectories ensemble using Fokker-Planck equation”, Zhurnal SVMO, 18:1 (2016), 126–134
S. L. Ginzburg, V. F. Dyachenko, Yu. N. Orlov, N. N. Fimin, V. M. Chechetkin, “Simulation of collisionless ultrarelativistic electron-proton plasma dynamics in a self-consistent electromagnetic field”, Zh. Vychisl. Mat. Mat. Fiz., 56:9 (2016), 1635–1644; Comput. Math. Math. Phys., 56:9 (2016), 1611–1619
L. A. Borisov, Yu. N. Orlov, V. Zh. Sakbaev, “Equivalence by Chernoff and evolution equations for density matrix and Wigner function for linear quantization”, Keldysh Institute preprints, 2015, 066, 28 pp.
72.
L. A. Borisov, Yu. N. Orlov, V. Zh. Sakbaev, “Feynman formulas for averaging of semigroups, generating by the operators of Schrödinger type”, Keldysh Institute preprints, 2015, 057, 23 pp.
Yu. V. Gaidamaka, E. R. Zaripova, Yu. N. Orlov, “Analysis of the impact the batch size distribution on parameters of the SIP-server queueing model with batch arrivals”, Keldysh Institute preprints, 2015, 027, 16 pp.
A. A. Vlasyuk, Yu. N. Orlov, “Identification accuracy of sample distribution functions for time series depending on distribution type, norm and sample length”, Keldysh Institute preprints, 2015, 017, 25 pp.
Yu. S. Malkova, Yu. N. Orlov, “Estimation of charged particles influence on the explosion of DT-target in thermonuclear reactor chamber”, Keldysh Institute preprints, 2015, 009, 20 pp.
76.
Yu. V. Gaidamaka, E. R. Zaripova, Y. N. Orlov, “Analyzing effects of SIP-messages batch arrival on queuing time for server processing”, Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2015, no. 3, 74–80
77.
N. N. Fimin, Yu. N. Orlov, V. M. Chechetkin, “Thermodynamic properties of vortex systems”, Matem. Mod., 27:9 (2015), 81–88; Math. Models Comput. Simul., 8:2 (2016), 149–154
L. A. Borisov, Yu. N. Orlov, “Analyzing the dependence of finite-fold approximations of the harmonic oscillator equilibrium density matrix and of the Wigner function on the quantization prescription”, TMF, 184:1 (2015), 106–116; Theoret. and Math. Phys., 184:1 (2015), 986–995
Yu. N. Orlov, V. O. Soloviev, N. M. Ovchinnikov, V. V. Patsyuk, V. M. Suslin, “Shock wave propagation in detonator channel and optimization of parameters of initiation of explosion charges”, Keldysh Institute preprints, 2014, 105, 21 pp.
A. D. Bosov, Yu. N. Orlov, S. L. Fedorov, “On the distribution of absolute values of returns for financial time series”, Keldysh Institute preprints, 2014, 096, 15 pp.
Yu. N. Orlov, S. L. Fedorov, V. A. Davidko, “To the classification of non-stationary time series: RTS index composition”, Keldysh Institute preprints, 2014, 054, 18 pp.
Yu. N. Orlov, S. L. Fedorov, “Modeling and statistical analysis of functional, defining on the sampling from non-stationary time series”, Keldysh Institute preprints, 2014, 043, 26 pp.
M. H. Numan Elsheikh, J. O. Ogun, Yu. N. Orlov, R. V. Pleshakov, V. Zh. Sakbaev, “Averaging of random semigroups and the ambiguity of quantization of Hamiltonian systems”, Keldysh Institute preprints, 2014, 019, 28 pp.
D. A. Zenyuk, Yu. N. Orlov, “On the application of Riemann–Liouville fractional calculus to the analysis of probability distributions”, Keldysh Institute preprints, 2014, 018, 21 pp.
A. D. Bosov, R. S. Kalmetiev, Yu. N. Orlov, “Sample distribution function construction for non-stationary time-series forecasting”, Matem. Mod., 26:3 (2014), 97–107
Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, “Feynman formulas as a method of averaging random Hamiltonians”, Trudy Mat. Inst. Steklova, 285 (2014), 232–243; Proc. Steklov Inst. Math., 285 (2014), 222–232
L. A. Borisov, Yu. N. Orlov, K. P. Osminin, “Identification of a text author by the letter frequency empirical distribution”, Keldysh Institute preprints, 2013, 027, 26 pp.
A. V. Lebedev, Yu. N. Orlov, D. O. Shagov, “Optimal set length indicator for non-stationary time-series”, Keldysh Institute preprints, 2013, 017, 16 pp.
90.
Yu. N. Orlov, “Optimal histogram interval for non-stationary time-series distribution function density estimation”, Keldysh Institute preprints, 2013, 014, 26 pp.
D. S. Kirillov, O. V. Korob, N. A. Mitin, Yu. N. Orlov, R. V. Pleshakov, “On the stationary distributions of the Hurst indicator for the non-stationary marked time series”, Keldysh Institute preprints, 2013, 011, 16 pp.
A. D. Bosov, Yu. N. Orlov, “The non-stationary time series forecasting with the use of Fokker–Plank equation and evolution equations for momentum of empirical distribution function”, Keldysh Institute preprints, 2013, 003, 30 pp.
D. S. Kirillov, L. V. Klochkova, Yu. N. Orlov, V. F. Tishkin, “Methodology of correlation coefficient calculation for
non-stationary time series”, Zhurnal SVMO, 15:1 (2013), 8–15
J. O. Ogun, Yu. N. Orlov, V. Zh. Sakbaev, “On the data space transformation for initial Cauchy problem with blow-up solutions”, Keldysh Institute preprints, 2012, 087, 31 pp.
O. Yu. Apolonsky, Yu. N. Orlov, “Analysis and comparison of long-term forecasts of the world energetic development. Part III”, Keldysh Institute preprints, 2012, 017, 26 pp.
96.
L. V. Klochkova, Yu. N. Orlov, V. F. Tishkin, “Mathematical modeling of correlation of the epidemic situation in the metropolitan
areas on the air state”, Zhurnal SVMO, 14:1 (2012), 8–15
Yu. N. Orlov, V. Zh. Sakbaev, O. G. Smolyanov, “Rate of convergence of Feynman approximations of semigroups generated by the oscillator Hamiltonian”, TMF, 172:1 (2012), 122–137; Theoret. and Math. Phys., 172:1 (2012), 987–1000
A. D. Bosov, Yu. N. Orlov, “The non-stationary time series modeling with the use of empirical Liouville equation and evolution equations for momentum”, Keldysh Institute preprints, 2011, 052, 28 pp.
I. Yu. Bosova, Yu. N. Orlov, “The non-stationary model of break-even point for LNG project”, Keldysh Institute preprints, 2011, 051, 25 pp.
101.
Yu. N. Orlov, V. O. Soloviev, V. M. Suslin, N. M. Ovchinnikov, “The calculation of the shock wave parameters in the channel with various cross-section”, Keldysh Institute preprints, 2011, 027, 19 pp.
O. Yu. Apolonsky, Yu. N. Orlov, “Analysis and comparison of long-term forecasts of the world energetic development”, Keldysh Institute preprints, 2010, 058, 26 pp.
103.
V. V. Bitter, D. S. Kirillov, O. V. Korob, Yu. N. Orlov, A. A. Russkov, “The Method of Preliminary Processing of Non-Stationary Time Series”, Keldysh Institute preprints, 2010, 035, 24 pp.
104.
V. V. Bitter, D. S. Kirillov, O. V. Korob, Yu. N. Orlov, “Construction algorithm of sample distribution function statistics for stochastic processes”, Keldysh Institute preprints, 2010, 034, 24 pp.
105.
I. Yu. Bosova, Yu. N. Orlov, V. A. Sementsova, “Calculation of the economy efficiency factors for oil-gas projects in non-stationary external conditions scenario”, Keldysh Institute preprints, 2010, 019, 26 pp.
M. M. Basko, S. A. Medin, Yu. N. Orlov, V. M. Suslin, “Through simulation of thermonuclear fusion and plasma expansion in the HIF reactor chamber”, Keldysh Institute preprints, 2010, 018, 36 pp.
Yu. N. Orlov, V. M. Suslin, “Simulation of microexplosion influence on the reactor chamber for Z-pinch HIF concept”, Keldysh Institute preprints, 2010, 017, 23 pp.
2009
108.
M. V. Maslennikov, Yu. N. Orlov, “Comparison of perspective reactor chamber concepts for IFE”, Keldysh Institute preprints, 2009, 018, 24 pp.
109.
Yu. N. Orlov, V. O. Soloviev, V. M. Suslin, N. M. Ovchinnikov, “The modeling of explosion influence on energy accumulating media and reflector metal walls”, Keldysh Institute preprints, 2009, 014, 20 pp.
2008
110.
Yu. N. Orlov, Yu. P. Ivkina, “Generalization of the Kozlov–Poincaré diffusion theorem for the collisionless continuous medium”, Keldysh Institute preprints, 2008, 083, 12 pp.
111.
Yu. N. Orlov, K. P. Osminin, “Kinetic equations for forecasting of non-stationary time-series”, Keldysh Institute preprints, 2008, 047, 30 pp.
112.
Yu. N. Orlov, K. P. Osminin, “Методика определения оптимального объема выборки для прогнозирования нестационарного временного ряда”, Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2008, no. 3, 3–13
113.
Yu. N. Orlov, K. P. Osminin, “Sample distribution function construction for non-stationary time-series forecasting”, Matem. Mod., 20:9 (2008), 23–33
V. I. Subbotin, Yu. N. Orlov, V. I. Es'man, V. O. Soloviev, V. M. Suslin, B. D. Khristoforov, “Experimental and numerical investigations of X-ray impulse influence on the liquid wall of IFE reactor chamber”, Keldysh Institute preprints, 2007, 090, 18 pp.
M. A. Lapik, Yu. N. Orlov, “On the logarithmic asymptotics of orthogonal measure for special polynomials in the problem of radiation scattering”, Keldysh Institute preprints, 2007, 082, 22 pp.
116.
Yu. N. Orlov, K. P. Osminin, “Analysis of non-stationary time-series”, Keldysh Institute preprints, 2007, 036, 22 pp.
O. Yu. Apolonsky, Yu. N. Orlov, “Analysis and comparison of long-term forecasts of the world energetic development”, Keldysh Institute preprints, 2007, 026, 28 pp.
Yu. P. Ivkina, Yu. N. Orlov, “The kinetics of non-colliding medium”, Keldysh Institute preprints, 2006, 049, 12 pp.
119.
V. I. Subbotin, S. A. Medin, Yu. N. Orlov, A. L. Shimkevich, “Power plant characteristics for hybrid thermonuclear heavy ion fusion reactor”, Keldysh Institute preprints, 2006, 047, 28 pp.
S. A. Medin, Yu. N. Orlov, V. M. Suslin, “Calculation of first wall protecting layer vaporization for ITS reactor chamber”, Keldysh Institute preprints, 2004, 062, 26 pp.
S. A. Medin, Yu. N. Orlov, A. N. Parshikov, V. M. Suslin, “Modeling the ITS reactor chamber and blanket response to micro-explosion”, Keldysh Institute preprints, 2004, 041, 30 pp.
Yu. N. Orlov, “Kinetic model of supercrisis heat transfer”, Matem. Mod., 15:1 (2003), 59–68
127.
Yu. N. Orlov, “Derivation of the Hydrodynamic Equations in the Framework of the Bogoliubov Functional Hypothesis”, TMF, 134:3 (2003), 501–512; Theoret. and Math. Phys., 134:3 (2003), 439–449
2002
128.
Yu. N. Orlov, “The two-group model of migrant assimilation process”, Keldysh Institute preprints, 2002, 076
129.
Yu. N. Orlov, “The influence of medium motion in problems of neutron transport equation”, Keldysh Institute preprints, 2002, 071
2001
130.
A. V. Voronkov, Yu. N. Orlov, E. P. Sychugova, “Neutron transport equation in the moving medium”, Keldysh Institute preprints, 2001, 091
131.
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
132.
Yu. N. Orlov, V. M. Suslin, “Kinetic equation for nonstationar civilization evolution models”, Keldysh Institute preprints, 2001, 053
133.
Yu. N. Orlov, V. M. Suslin, “The kinetic research for description of nonlinear demography processes”, Keldysh Institute preprints, 2001, 047
M. A. Galahov, Yu. N. Orlov, V. M. Suslin, “Mathematical Models of Life Guarantee. Part 2. The Demography”, Keldysh Institute preprints, 2000, 069
135.
M. A. Galahov, Yu. N. Orlov, “Mathematical Models of Life Guarantee. Part I. The Basic Methods”, Keldysh Institute preprints, 2000, 033
1999
136.
Yu. N. Orlov, V. M. Suslin, “Trajectories on a sphere that are generated by Lagrangians with higher-order derivatives”, Differ. Uravn., 35:12 (1999), 1624–1629; Differ. Equ., 35:12 (1999), 1649–1654
137.
Yu. N. Orlov, “Lenear Quantization of Dynamical Systems and Guatizational Kinetic Equations”, Keldysh Institute preprints, 1999, 014
V. V. Vedenyapin, Yu. N. Orlov, “Conservation laws for polynomial Hamiltonians and for discrete models of the Boltzmann equation”, TMF, 121:2 (1999), 307–315; Theoret. and Math. Phys., 121:2 (1999), 1516–1523
Yu. N. Orlov, V. M. Suslin, “The Dynamics of Lagrangiens Systems with Higher Derivatives Dependence. Part 5. Nontrivial Spherical Trajectories”, Keldysh Institute preprints, 1996, 058
1995
142.
Yu. N. Orlov, “Hydrodynamic Equation of the Postgalilean Plasma”, Keldysh Institute preprints, 1995, 073
143.
M. V. Dikovsky, Yu. N. Orlov, “Eigenvalues of the Quantum Anharmonic Oscillator”, Keldysh Institute preprints, 1995, 046
144.
Yu. N. Orlov, I. P. Pavlotskii, V. M. Suslin, “The Dynamics of Lagrangiens Systems with Acceleration Dependence. Part 4”, Keldysh Institute preprints, 1995, 043
145.
Yu. N. Orlov, I. P. Pavlotskii, V. M. Suslin, “The Dynamics of Lagrangiens Systems with Acceleration Dependence. Part 3”, Keldysh Institute preprints, 1995, 042
146.
V. V. Vedenyapin, Yu. N. Orlov, I. P. Pavlotskii, V. M. Suslin, A. S. Shumovsky, “Estimation of Eigenvalues in the Raman-Type Nonlinear Model”, Keldysh Institute preprints, 1995, 041
1989
147.
Yu. N. Orlov, I. P. Pavlotsky, “Post-Galileian equilibrium Bogolyubov chains”, Dokl. Akad. Nauk SSSR, 304:2 (1989), 329–332; Dokl. Math., 34:1 (1989), 27–28
Yu. N. Orlov, I. P. Pavlotsky, “The connection between the weakly relativistic Vlasov and Wigner
equations at various quantizations”, Dokl. Akad. Nauk SSSR, 298:4 (1988), 837–840; Dokl. Math., 33:2 (1988), 103–104
150.
P. S. Kondratenko, Yu. N. Orlov, “FORMATION OF SURFACE-STRUCTURES BEHIND THE LASER-EMISSION SPOT, ACTING
UPON A SURFACE OF CONDENSED MEDIA”, Zhurnal Tekhnicheskoi Fiziki, 58:5 (1988), 985–987
1987
151.
P. S. Kondratenko, Yu. N. Orlov, “Formation of surface-structures by the laser-beam of a small diameter”, Pisma v Zhurnal Tekhnicheskoi Fiziki, 13:14 (1987), 862–865
2019
152.
I. V. Boykov, D. I. Boyarkin, S. M. Vdovin, P. A. Vel'misov, V. Z. Grines, I. M. Gubaydullin, Yu. N. Deryugin, D. K. Egorova, R. V. Zhalnin, V. T. Zhukov, T. Sh. Kal'menov, L. V. Klochkova, M. M. Krasnov, V. N. Krizsky, E. B. Kuznetsov, M. E. Ladonkina, T. Ph. Mamedova, V. F. Masyagin, P. P. Matus, N. D. Morozkin, S. M. Muryumin, O. A. Neklyudova, Yu. N. Orlov, A. Yu. Pavlov, E. E. Peskova, Yu. A. Poveschenko, I. P. Ryazantseva, V. I. Safonkin, P. V. Senin, G. A. Smolkin, S. I. Spivak, D. V. Suzan, L. A. Sukharev, A. O. Syromyasov, O. B. Feodoritova, I. I. Chuchaev, P. A. Shamanaev, O. S. Yazovtseva, N. G. Yarushkina, “To the seventieth anniversary of Vladimir Fedorovich Tishkin”, Zhurnal SVMO, 21:1 (2019), 111–113
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