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Kolesov, Andrei Yurevich

Statistics Math-Net.Ru
Total publications: 147
Scientific articles: 146
Presentations: 1

Number of views:
This page:5254
Abstract pages:44558
Full texts:11029
References:4054
Kolesov, Andrei Yurevich
Professor
Doctor of physico-mathematical sciences (1992)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 25.10.1961
E-mail: ,
Keywords: avto-oscillations, attractor, chaos, singularly perturbed systems, vawe equation, bifurcation, bufferness, lattice of connected oscillators, invariant torus.
   
Main publications:
  1. Mishchenko E. F., Kolesov Yu. S., Kolesov A. Yu., Rozov N. Kh., Asymptotic methods in singularly perturbed systems, Monogr. Contemp. Math., Consultants Bureau, New York, 1994  mathscinet  zmath
  2. Kolesov A. Yu., Kolesov Yu. S., Relaksatsionnye kolebaniya v matematicheskikh modelyakh ekologii, Tr. MIAN, 199, Nauka, M., 1993  mathnet  mathscinet  zmath
  3. Kolesov A. Yu., Rozov N. Kh., “Yavlenie bufernosti v RCLG-avtogeneratore: teoreticheskii analiz i rezultaty eksperimenta”, Tr. MIAN, 233, 2001, 153–207  mathnet  mathscinet  zmath
  4. Kolesov A. Yu., Rozov N. Kh., Sadovnichii V. A., “Teorema Tyuringa–Prigozhina dlya sistem parabolicheskikh uravnenii s maloi diffuziei”, Tr. seminara, 2, Knizhnyi dom, M., 2001, 9–41

http://www.mathnet.ru/eng/person8333
List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:kolesov.a-yu
https://mathscinet.ams.org/mathscinet/MRAuthorID/236748
http://elibrary.ru/author_items.asp?spin=1195-2086
http://orcid.org/0000-0001-5066-0881

Publications in Math-Net.Ru
2020
1. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Expanding endomorphism on infinite-dimensional torus”, Funktsional. Anal. i Prilozhen., 54:4 (2020),  17–36  mathnet
2. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Solenoidal attractors of diffeomorphisms of annular sets”, Uspekhi Mat. Nauk, 75:2(452) (2020),  3–60  mathnet; Russian Math. Surveys, 75:2 (2020), 197–252  isi  scopus
3. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “On Some Sufficient Hyperbolicity Conditions”, Tr. Mat. Inst. Steklova, 308 (2020),  116–134  mathnet  elib; Proc. Steklov Inst. Math., 308 (2020), 107–124  isi  scopus
4. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Diffusion chaos and its invariant numerical characteristics”, TMF, 203:1 (2020),  10–25  mathnet  elib; Theoret. and Math. Phys., 203:1 (2020), 443–456  isi  scopus
2019
5. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “New approach to gene network modeling”, Model. Anal. Inform. Sist., 26:3 (2019),  365–404  mathnet
6. A. Yu. Kolesov, N. Kh. Rozov, V. A. Sadovnichii, “On the Hyperbolicity of Toral Endomorphisms”, Mat. Zametki, 105:2 (2019),  251–268  mathnet  elib; Math. Notes, 105:2 (2019), 236–250  isi  scopus
7. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “A self-symmetric cycle in a system of two diffusely connected Hutchinson's equations”, Mat. Sb., 210:2 (2019),  24–74  mathnet  elib; Sb. Math., 210:2 (2019), 184–233  isi  scopus
8. A. Yu. Kolesov, N. Kh. Rozov, V. A. Sadovnichii, “On a Mathematical Model of Biological Self-Organization”, Tr. Mat. Inst. Steklova, 304 (2019),  174–204  mathnet  elib; Proc. Steklov Inst. Math., 304 (2019), 160–189  isi  scopus
9. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Автоволновые процессы в диффузионных нейронных системах”, Zh. Vychisl. Mat. Mat. Fiz., 59:9 (2019),  1495–1515  mathnet  elib
2018
10. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “An approach to modeling artificial gene networks”, TMF, 194:3 (2018),  547–568  mathnet  elib; Theoret. and Math. Phys., 194:3 (2018), 471–490  isi  scopus
11. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Quasi-stable structures in circular gene networks”, Zh. Vychisl. Mat. Mat. Fiz., 58:5 (2018),  682–704  mathnet  elib; Comput. Math. Math. Phys., 58:5 (2018), 659–679  isi  scopus
2017
12. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Many-circuit canard trajectories and their applications”, Izv. RAN. Ser. Mat., 81:4 (2017),  108–157  mathnet  mathscinet  elib; Izv. Math., 81:4 (2017), 771–817  isi  scopus
13. S. D. Glyzin, A. Yu. Kolesov, E. A. Marushkina, “Relaxation oscillations in a system of two pulsed synaptically coupled neurons”, Model. Anal. Inform. Sist., 24:1 (2017),  82–93  mathnet  mathscinet  elib
14. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Existence and Stability of the Relaxation Cycle in a Mathematical Repressilator Model”, Mat. Zametki, 101:1 (2017),  58–76  mathnet  mathscinet  elib; Math. Notes, 101:1 (2017), 71–86  isi  scopus
15. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Two-frequency self-oscillations in a FitzHugh–Nagumo neural network”, Zh. Vychisl. Mat. Mat. Fiz., 57:1 (2017),  94–110  mathnet  elib; Comput. Math. Math. Phys., 57:1 (2017), 106–121  isi  scopus
2016
16. A. Yu. Kolesov, N. Kh. Rozov, V. A. Sadovnichii, “Periodic solutions of travelling-wave type in circular gene networks”, Izv. RAN. Ser. Mat., 80:3 (2016),  67–94  mathnet  mathscinet  zmath  elib; Izv. Math., 80:3 (2016), 523–548  isi  scopus
17. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “The annulus principle in the existence problem for a hyperbolic strange attractor”, Mat. Sb., 207:4 (2016),  15–46  mathnet  mathscinet  elib; Sb. Math., 207:4 (2016), 490–518  isi  scopus
18. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Buffering in cyclic gene networks”, TMF, 187:3 (2016),  560–579  mathnet  mathscinet  elib; Theoret. and Math. Phys., 187:3 (2016), 935–951  isi  scopus
2015
19. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Self-excited wave processes in chains of unidirectionally coupled impulse neurons”, Model. Anal. Inform. Sist., 22:3 (2015),  404–419  mathnet  mathscinet  elib
20. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Blue sky catastrophe in systems with non-classical relaxation oscillations”, Model. Anal. Inform. Sist., 22:1 (2015),  38–64  mathnet  mathscinet  elib
21. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Self-excited relaxation oscillations in networks of impulse neurons”, Uspekhi Mat. Nauk, 70:3(423) (2015),  3–76  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 70:3 (2015), 383–452  isi  scopus
22. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Blue sky catastrophe as applied to modeling of cardiac rhythms”, Zh. Vychisl. Mat. Mat. Fiz., 55:7 (2015),  1136–1155  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 55:7 (2015), 1120–1137  isi  elib  scopus
2014
23. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “The buffer phenomenon in ring-like chains of unidirectionally connected generators”, Izv. RAN. Ser. Mat., 78:4 (2014),  73–108  mathnet  mathscinet  zmath  elib; Izv. Math., 78:4 (2014), 708–743  isi  scopus
24. Yu. V. Bogomolov, S. D. Glyzin, A. Yu. Kolesov, “On the number of coexisting autowaves in the chain of coupled oscillators”, Model. Anal. Inform. Sist., 21:5 (2014),  162–180  mathnet
25. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Non-Classical Relaxation Oscillations in Neurodynamics”, Model. Anal. Inform. Sist., 21:2 (2014),  71–89  mathnet
26. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “On One Means of Hard Excitation of Oscillations in Nonlinear Flutter Systems”, Model. Anal. Inform. Sist., 21:1 (2014),  32–44  mathnet
27. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “The theory of nonclassical relaxation oscillations in singularly perturbed delay systems”, Mat. Sb., 205:6 (2014),  21–86  mathnet  mathscinet  zmath  elib; Sb. Math., 205:6 (2014), 781–842  isi  scopus
28. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Autowave processes in continual chains of unidirectionally coupled oscillators”, Tr. Mat. Inst. Steklova, 285 (2014),  89–106  mathnet  elib; Proc. Steklov Inst. Math., 285 (2014), 81–98  isi  elib  scopus
29. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Buffering effect in continuous chains of unidirectionally coupled generators”, TMF, 181:2 (2014),  254–275  mathnet  mathscinet  elib; Theoret. and Math. Phys., 181:2 (2014), 1349–1366  isi  elib  scopus
30. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “On a modification of the FitzHugh–Nagumo neuron model”, Zh. Vychisl. Mat. Mat. Fiz., 54:3 (2014),  430–449  mathnet  elib; Comput. Math. Math. Phys., 54:3 (2014), 443–461  isi  elib  scopus
2013
31. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Relaxation self-oscillations in Hopfield networks with delay”, Izv. RAN. Ser. Mat., 77:2 (2013),  53–96  mathnet  mathscinet  zmath  elib; Izv. Math., 77:2 (2013), 271–312  isi  elib  scopus
32. A. S. Bobok, S. D. Glyzin, A. Yu. Kolesov, “The Quasi-Normal Form of a System of Three Unidirectionally Coupled Singularly Perturbed Equations with Two Delays”, Model. Anal. Inform. Sist., 20:5 (2013),  158–167  mathnet
33. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Modeling the Bursting Effect in Neuron Systems”, Mat. Zametki, 93:5 (2013),  684–701  mathnet  mathscinet  zmath  elib; Math. Notes, 93:5 (2013), 676–690  isi  elib  scopus
34. A. Yu. Kolesov, N. Kh. Rozov, “Invariant tori for a class of nonlinear evolution equations”, Mat. Sb., 204:6 (2013),  47–92  mathnet  mathscinet  zmath  elib; Sb. Math., 204:6 (2013), 824–868  isi  elib  scopus
35. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Periodic traveling-wave-type solutions in circular chains of unidirectionally coupled equations”, TMF, 175:1 (2013),  62–83  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 175:1 (2013), 499–517  isi  elib  scopus
2012
36. A. Yu. Kolesov, N. Kh. Rozov, “Self-excited wave processes in chains of diffusion-linked delay equations”, Uspekhi Mat. Nauk, 67:2(404) (2012),  109–156  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 67:2 (2012), 297–343  isi  elib  scopus
37. A. Yu. Kolesov, N. Kh. Rozov, “Discrete autowaves in systems of delay differential–difference equations in ecology”, Tr. Mat. Inst. Steklova, 277 (2012),  101–143  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 277 (2012), 94–136  isi  elib  scopus
38. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Discrete autowaves in neural systems”, Zh. Vychisl. Mat. Mat. Fiz., 52:5 (2012),  840–858  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 52:5 (2012), 702–719  isi  elib  scopus
2011
39. A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Multifrequency self-oscillations in two-dimensional lattices of coupled oscillators”, Izv. RAN. Ser. Mat., 75:3 (2011),  97–126  mathnet  mathscinet  zmath  elib; Izv. Math., 75:3 (2011), 539–567  isi  elib  scopus
40. A. Yu. Kolesov, N. Kh. Rozov, “The theory of relaxation oscillations for Hutchinson's equation”, Mat. Sb., 202:6 (2011),  51–82  mathnet  mathscinet  zmath  elib; Sb. Math., 202:6 (2011), 829–858  isi  scopus
41. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Relaxation oscillations and diffusion chaos in the Belousov reaction”, Zh. Vychisl. Mat. Mat. Fiz., 51:8 (2011),  1400–1418  mathnet  mathscinet; Comput. Math. Math. Phys., 51:8 (2011), 1307–1324  isi  scopus
2010
42. A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Multifrequency self-oscillations in two-dimensional lattices of coupled oscillators”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:5 (2010),  82–94  mathnet  elib
43. A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Buffer phenomenon in the spatially one-dimensional Swift–Hohenberg equation”, Tr. Mat. Inst. Steklova, 268 (2010),  137–154  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 268 (2010), 130–147  isi  elib  scopus
44. A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “A modification of Hutchinson's equation”, Zh. Vychisl. Mat. Mat. Fiz., 50:12 (2010),  2099–2112  mathnet; Comput. Math. Math. Phys., 50:12 (2010), 1990–2002  scopus
45. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Finite-dimensional models of diffusion chaos”, Zh. Vychisl. Mat. Mat. Fiz., 50:5 (2010),  860–875  mathnet  elib; Comput. Math. Math. Phys., 50:5 (2010), 816–830  isi  elib  scopus
2009
46. A. Yu. Kolesov, N. Kh. Rozov, “On the definition of ‘chaos’”, Uspekhi Mat. Nauk, 64:4(388) (2009),  125–172  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 64:4 (2009), 701–744  isi  elib  scopus
47. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “The question of the realizability of the Landau scenario for the development of turbulence”, TMF, 158:2 (2009),  292–311  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 158:2 (2009), 246–261  isi  scopus
48. A. Yu. Kolesov, N. Kh. Rozov, “Dynamic effects associated with spatial discretization of nonlinear wave equations”, Zh. Vychisl. Mat. Mat. Fiz., 49:10 (2009),  1812–1826  mathnet; Comput. Math. Math. Phys., 49:10 (2009), 1733–1747  isi  scopus
49. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Extremal dynamics of the generalized Hutchinson equation”, Zh. Vychisl. Mat. Mat. Fiz., 49:1 (2009),  76–89  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 49:1 (2009), 71–83  isi  elib  scopus
2008
50. A. Yu. Kolesov, N. Kh. Rozov, V. A. Sadovnichii, “Mathematical aspects of the theory of development of turbulence in the sense of Landau”, Uspekhi Mat. Nauk, 63:2(380) (2008),  21–84  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 63:2 (2008), 221–282  isi  elib  scopus
51. A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Resonance Dynamics of Nonlinear Flutter Systems”, Tr. Mat. Inst. Steklova, 261 (2008),  154–175  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 261 (2008), 149–170  isi  elib  scopus
2007
52. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “The Buffer Phenomenon in One-Dimensional Piecewise Linear Mapping in Radiophysics”, Mat. Zametki, 81:4 (2007),  507–514  mathnet  mathscinet  zmath  elib; Math. Notes, 81:4 (2007), 449–455  isi  scopus
53. A. Yu. Kolesov, N. Kh. Rozov, V. A. Sadovnichii, “The problem of birth of autowaves in parabolic systems with small diffusion”, Mat. Sb., 198:11 (2007),  67–106  mathnet  mathscinet  zmath  elib; Sb. Math., 198:11 (2007), 1599–1636  isi  scopus
54. A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “New Methods for Proving the Existence and Stability of Periodic Solutions in Singularly Perturbed Delay Systems”, Tr. Mat. Inst. Steklova, 259 (2007),  106–133  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 259 (2007), 101–127  elib  scopus
55. A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Attractors of the Sine-Gordon Equation in the Field of a Quasiperiodic External Force”, Tr. Mat. Inst. Steklova, 256 (2007),  219–236  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 256 (2007), 206–222  elib  scopus
2006
56. A. Yu. Kolesov, N. Kh. Rozov, “Autowave processes in a long line without distortions”, Differ. Uravn., 42:2 (2006),  239–244  mathnet  mathscinet; Differ. Equ., 42:2 (2006), 255–260
57. A. Yu. Kolesov, N. Kh. Rozov, “Smoothing the discontinuous oscillations in the mathematical model of an oscillator with distributed parameters”, Izv. RAN. Ser. Mat., 70:6 (2006),  129–152  mathnet  mathscinet  zmath  elib; Izv. Math., 70:6 (2006), 1201–1224  isi  elib  scopus
58. A. Yu. Kolesov, N. Kh. Rozov, “The buffer property in a non-classical hyperbolic boundary-value problem from radiophysics”, Mat. Sb., 197:6 (2006),  63–96  mathnet  mathscinet  zmath  elib; Sb. Math., 197:6 (2006), 853–885  isi  elib  scopus
59. A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Buffer phenomenon in systems close to two-dimensional Hamiltonian ones”, Trudy Inst. Mat. i Mekh. UrO RAN, 12:1 (2006),  109–141  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 253, suppl. 1 (2006), S117–S150  scopus
60. A. Yu. Kolesov, N. Kh. Rozov, “The nature of the bufferness phenomenon in weakly dissipative systems”, TMF, 146:3 (2006),  447–466  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 146:3 (2006), 376–392  isi  elib  scopus
61. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Chaos phenomena in a circle of three unidirectionally connected oscillators”, Zh. Vychisl. Mat. Mat. Fiz., 46:10 (2006),  1809–1821  mathnet  mathscinet; Comput. Math. Math. Phys., 46:10 (2006), 1724–1736  scopus
62. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Buffer phenomenon in systems with one and a half degrees of freedom”, Zh. Vychisl. Mat. Mat. Fiz., 46:9 (2006),  1582–1593  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 46:9 (2006), 1503–1514  elib  scopus
2005
63. D. S. Glyzin, S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “The Dynamic Renormalization Method for Finding the Maximum Lyapunov Exponent of a Chaotic Attractor”, Differ. Uravn., 41:2 (2005),  268–273  mathnet  mathscinet; Differ. Equ., 41:2 (2005), 284–289
64. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Chaotic buffering property in chains of coupled oscillators”, Differ. Uravn., 41:1 (2005),  41–49  mathnet  mathscinet; Differ. Equ., 41:1 (2005), 41–49
65. A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Buffer Phenomenon in Nonlinear Physics”, Tr. Mat. Inst. Steklova, 250 (2005),  112–182  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 250 (2005), 102–168
66. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “The mechanism of hard excitation of self-oscillations in the case of the resonance 1:2”, Zh. Vychisl. Mat. Mat. Fiz., 45:11 (2005),  2000–2016  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 45:11 (2005), 1923–1938  elib
2004
67. A. Yu. Kolesov, A. N. Kulikov, N. Kh. Rozov, “Attractors of Singularly Perturbed Parabolic Systems of First Degree of Nonroughness in a Plane Domain”, Mat. Zametki, 75:5 (2004),  663–669  mathnet  mathscinet  zmath  elib; Math. Notes, 75:5 (2004), 617–622  isi
68. A. Yu. Kolesov, N. Kh. Rozov, “Optical Buffering and Mechanisms for Its Occurrence”, TMF, 140:1 (2004),  14–28  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 140:1 (2004), 905–917  isi
69. A. Yu. Kolesov, N. Kh. Rozov, “On the theoretical explanation of the diffusion buffer phenomenon”, Zh. Vychisl. Mat. Mat. Fiz., 44:11 (2004),  2020–2040  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 44:11 (2004), 1922–1941
2003
70. A. Yu. Kolesov, A. N. Kulikov, N. Kh. Rozov, “Invariant Tori of a Class of Point Transformations: Preservation of an Invariant Torus Under Perturbations”, Differ. Uravn., 39:6 (2003),  738–753  mathnet  mathscinet; Differ. Equ., 39:6 (2003), 775–790
71. A. Yu. Kolesov, A. N. Kulikov, N. Kh. Rozov, “Invariant Tori of a Class of Point Mappings: The Annulus Principle”, Differ. Uravn., 39:5 (2003),  584–601  mathnet  mathscinet; Differ. Equ., 39:5 (2003), 614–631
72. A. Yu. Kolesov, N. Kh. Rozov, “On-Off Intermittency in Relaxation Systems”, Differ. Uravn., 39:1 (2003),  35–44  mathnet  mathscinet; Differ. Equ., 39:1 (2003), 36–45
73. A. Yu. Kolesov, N. Kh. Rozov, “The existence of countably many stable cycles for a generalized cubic Schrödinger equation in a planar domain”, Izv. RAN. Ser. Mat., 67:6 (2003),  137–168  mathnet  mathscinet  zmath  elib; Izv. Math., 67:6 (2003), 1213–1242  isi  scopus
74. A. Yu. Kolesov, N. Kh. Rozov, “Two-Frequency Autowave Processes in the Complex Ginzburg–Landau Equation”, TMF, 134:3 (2003),  353–373  mathnet  mathscinet; Theoret. and Math. Phys., 134:3 (2003), 308–325  isi
2002
75. A. Yu. Kolesov, N. Kh. Rozov, “Attractors of Hard Turbulence Type in Relaxation Systems”, Differ. Uravn., 38:12 (2002),  1596–1605  mathnet  mathscinet; Differ. Equ., 38:12 (2002), 1694–1702
76. A. Yu. Kolesov, N. Kh. Rozov, “The Buffer Phenomenon in the Van Der Pol Oscillator with Delay”, Differ. Uravn., 38:2 (2002),  165–176  mathnet  mathscinet; Differ. Equ., 38:2 (2002), 175–186
77. A. Yu. Kolesov, N. Kh. Rozov, “Multifrequency parametric resonance in a non-linear wave equation”, Izv. RAN. Ser. Mat., 66:6 (2002),  49–64  mathnet  mathscinet  zmath; Izv. Math., 66:6 (2002), 1131–1145
78. A. S. Bobkova, A. Yu. Kolesov, N. Kh. Rozov, “The “Duck Survival” Problem in Three-Dimensional Singularly Perturbed Systems with Two Slow Variables”, Mat. Zametki, 71:6 (2002),  818–831  mathnet  mathscinet  zmath; Math. Notes, 71:6 (2002), 749–760  isi  scopus
79. A. Yu. Kolesov, N. Kh. Rozov, “Impact of quadratic non-linearity on the dynamics of periodic solutions of a wave equation”, Mat. Sb., 193:1 (2002),  93–118  mathnet  mathscinet  zmath; Sb. Math., 193:1 (2002), 93–118  isi  scopus
2001
80. A. Yu. Kolesov, N. Kh. Rozov, “The buffer phenomenon in a mathematical model of the van der Pol self-oscillator with distributed parameters”, Izv. RAN. Ser. Mat., 65:3 (2001),  67–84  mathnet  mathscinet  zmath  elib; Izv. Math., 65:3 (2001), 485–501  scopus
81. A. Yu. Kolesov, N. Kh. Rozov, “The Parametric Buffer Phenomenon for a Singularly Perturbed Telegraph Equation with a Pendulum Nonlinearity”, Mat. Zametki, 69:6 (2001),  866–875  mathnet  mathscinet  zmath  elib; Math. Notes, 69:6 (2001), 790–798  isi
82. A. Yu. Kolesov, N. Kh. Rozov, “The Bufferness Phenomenon in the RCLG Seft-excited Oscillator: Theoretical Analysis and Experiment Results”, Tr. Mat. Inst. Steklova, 233 (2001),  153–207  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 233 (2001), 143–196
2000
83. A. Yu. Kolesov, N. Kh. Rozov, “Existence of solutions with turning points for nonlinear singularly perturbed boundary value problems”, Mat. Zametki, 67:4 (2000),  520–524  mathnet  mathscinet  zmath; Math. Notes, 67:4 (2000), 444–447  isi
84. A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “The buffer property in resonance systems of non-linear hyperbolic equations”, Uspekhi Mat. Nauk, 55:2(332) (2000),  95–120  mathnet  mathscinet  zmath; Russian Math. Surveys, 55:2 (2000), 297–321  isi  scopus
85. A. Yu. Kolesov, N. Kh. Rozov, “Parametric excitation of high-mode oscillations for a non-linear telegraph equation”, Mat. Sb., 191:8 (2000),  45–68  mathnet  mathscinet  zmath; Sb. Math., 191:8 (2000), 1147–1169  isi  scopus
86. A. Yu. Kolesov, N. Kh. Rozov, “Characteristic features of the dynamics of the Ginzburg–Landau equation in a plane domain”, TMF, 125:2 (2000),  205–220  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 125:2 (2000), 1476–1488  isi
87. A. Yu. Kolesov, N. Kh. Rozov, “Solvability of a nonclassical parabolic problem arising in radiophysics”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2000, 5,  12–19  mathnet  mathscinet  zmath
88. A. Yu. Kolesov, N. Kh. Rozov, “Asymptotic investigation of a hyperbolic boundary value problem in radio physics”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2000, 1,  21–26  mathnet  mathscinet  zmath
1999
89. A. Yu. Kolesov, N. Kh. Rozov, ““Duck hunting” in the study of singularly perturbed boundary value problems”, Differ. Uravn., 35:10 (1999),  1356–1365  mathnet  mathscinet; Differ. Equ., 35:10 (1999), 1374–1383
90. A. Yu. Kolesov, N. Kh. Rozov, V. G. Sushko, “Specifity of the auto oscillatory processes in resonance hyperbolic systems”, Fundam. Prikl. Mat., 5:2 (1999),  437–473  mathnet  mathscinet  zmath
91. A. Yu. Kolesov, N. Kh. Rozov, “Asymptotic theory of oscillations in the Vitt system”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 67 (1999),  5–68  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 105:1 (2001), 1697–1737
92. A. Yu. Kolesov, N. Kh. Rozov, “The “Buridan's Ass” problem in relaxation systems with one slow variable”, Mat. Zametki, 65:1 (1999),  153–156  mathnet  mathscinet  zmath; Math. Notes, 65:1 (1999), 128–131  isi
93. A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Solution to Singularly Perturbed Boundary Value Problems by the Duck Hunting Method”, Tr. Mat. Inst. Steklova, 224 (1999),  187–207  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 224 (1999), 169–188
1998
94. A. Yu. Kolesov, N. Kh. Rozov, “Auto-oscillations in an RCLG-line with small distortion”, Differ. Uravn., 34:11 (1998),  1559–1561  mathnet  mathscinet; Differ. Equ., 34:11 (1998), 1561–1564
95. A. Yu. Kolesov, N. Kh. Rozov, “The diffusion-buffer phenomenon in a mathematical model of biology”, Izv. RAN. Ser. Mat., 62:5 (1998),  135–164  mathnet  mathscinet  zmath; Izv. Math., 62:5 (1998), 985–1012  isi  scopus
96. A. Yu. Kolesov, “Diffusion instability of a uniform cycle bifurcating from a separatrix loop”, Mat. Zametki, 63:5 (1998),  697–708  mathnet  mathscinet  zmath; Math. Notes, 63:5 (1998), 614–623  isi
97. A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Asymptotic Methods of Investigation of Periodic Solutions of Nonlinear Hyperbolic Equations”, Tr. Mat. Inst. Steklova, 222 (1998),  3–191  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 222 (1998), 1–189
98. A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “External action as a method for the regularization of discontinuous oscillations in a nonlinear telegraph equation”, Tr. Mat. Inst. Steklova, 220 (1998),  157–172  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 220 (1998), 154–169
99. V. F. Kambulov, A. Yu. Kolesov, N. Kh. Rozov, “Existence and stability of rapidly oscillating cycles for the nonlinear telegraph equation”, Zh. Vychisl. Mat. Mat. Fiz., 38:8 (1998),  1287–1300  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 38:8 (1998), 1233–1246
1997
100. V. F. Kambulov, A. Yu. Kolesov, N. Kh. Rozov, “Theoretical and experimental analysis of the buffer phenomenon in a long line with a tunnel diode”, Differ. Uravn., 33:5 (1997),  638–645  mathnet  mathscinet; Differ. Equ., 33:5 (1997), 641–648
101. A. Yu. Kolesov, Yu. S. Kolesov, N. Kh. Rozov, “Chaos of 'split torus' type in three-dimensional relaxation systems”, Mat. Sb., 188:11 (1997),  3–18  mathnet  mathscinet  zmath; Sb. Math., 188:11 (1997), 1571–1586  isi  scopus
102. A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Relay with delay and its $C^1$-approximation”, Tr. Mat. Inst. Steklova, 216 (1997),  126–153  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 216 (1997), 119–146
1996
103. A. Yu. Kolesov, N. Kh. Rozov, “On $C^1$-approximation of solutions of systems of differential equations with piecewise-continuous right-hand sides”, Dokl. Akad. Nauk, 349:2 (1996),  162–164  mathnet  mathscinet  zmath
104. A. Yu. Kolesov, N. Kh. Rozov, “Duck cycles of three-dimensional relaxation systems with one fast and two slow variables”, Differ. Uravn., 32:2 (1996),  180–184  mathnet  mathscinet; Differ. Equ., 32:2 (1996), 181–185
105. V. F. Kambulov, A. Yu. Kolesov, “On a certain model hyperbolic equation arising in radiophysics”, Matem. Mod., 8:1 (1996),  93–102  mathnet  mathscinet  zmath
106. A. Yu. Kolesov, “A four-dimensional analog of Lyapunov's classical stability problem”, Mat. Zametki, 60:4 (1996),  612–615  mathnet  mathscinet  zmath; Math. Notes, 60:4 (1996), 459–462  isi
107. A. Yu. Kolesov, “Bifurcation of periodic motions under $1:1$ Resonance with Jordan blocks”, Mat. Zametki, 60:3 (1996),  450–451  mathnet  mathscinet  zmath; Math. Notes, 60:3 (1996), 335–336  isi
1995
108. A. Yu. Kolesov, “Relaxation cycles of a nonlinear wave equation that smoothly depends on the parameters”, Dokl. Akad. Nauk, 341:2 (1995),  158–160  mathnet  mathscinet  zmath
109. A. Yu. Kolesov, N. Kh. Rozov, “Construction of periodic solutions of a Boussinnesq type equation using the method of quasi-normal forms”, Fundam. Prikl. Mat., 1:1 (1995),  207–220  mathnet  mathscinet  zmath  elib
110. A. Yu. Kolesov, “Existence of countably many stable cycles in media with dispersion”, Izv. RAN. Ser. Mat., 59:3 (1995),  141–158  mathnet  mathscinet  zmath; Izv. Math., 59:3 (1995), 579–595  isi
111. V. F. Kambulov, A. Yu. Kolesov, “The buffering phenomenon in a resonance hyperbolic boundary-value problem in radiophysics”, Mat. Sb., 186:7 (1995),  77–96  mathnet  mathscinet  zmath; Sb. Math., 186:7 (1995), 1003–1021  isi
1994
112. A. Yu. Kolesov, “On the existence and stability of a two-dimensional relaxational torus”, Mat. Zametki, 56:6 (1994),  40–47  mathnet  mathscinet  zmath; Math. Notes, 56:6 (1994), 1238–1243  isi
113. A. Yu. Kolesov, “Application of techniques of relaxation oscillations to a system of differential-difference equations from ecology”, Mat. Sb., 185:1 (1994),  95–106  mathnet  mathscinet  zmath; Russian Acad. Sci. Sb. Math., 81:1 (1995), 77–86  isi
1993
114. A. Yu. Kolesov, Yu. S. Kolesov, “Relaxational oscillations in mathematical models of ecology”, Trudy Mat. Inst. Steklov., 199 (1993),  3–124  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 199 (1995), 1–126
1992
115. A. Yu. Kolesov, Yu. S. Kolesov, “Relaxation cycles of differential-difference equations”, Izv. RAN. Ser. Mat., 56:4 (1992),  790–812  mathnet  mathscinet  zmath; Russian Acad. Sci. Izv. Math., 41:1 (1993), 75–94  isi
116. A. Yu. Kolesov, “Stability of the autooscillations of the telegraph equation, bifurcating from an equilibrium state”, Mat. Zametki, 51:2 (1992),  59–65  mathnet  mathscinet  zmath; Math. Notes, 51:2 (1992), 147–151  isi
117. A. Yu. Kolesov, Yu. S. Kolesov, “Relaxation cycles in systems with delay”, Mat. Sb., 183:8 (1992),  141–159  mathnet  mathscinet  zmath; Russian Acad. Sci. Sb. Math., 76:2 (1993), 507–522  isi
118. A. Yu. Kolesov, “Parametric oscillations of solutions to the telegraph equation with moderately small diffusion”, Sibirsk. Mat. Zh., 33:6 (1992),  79–86  mathnet  mathscinet  zmath; Siberian Math. J., 33:6 (1992), 1011–1019  isi
1991
119. A. Yu. Kolesov, “A new class of relaxation systems in general position”, Dokl. Akad. Nauk SSSR, 316:3 (1991),  546–549  mathnet  mathscinet  zmath; Dokl. Math., 43:1 (1991), 137–140
120. A. Yu. Kolesov, “Specific relaxation cycles of systems of Lotka–Volterra type”, Izv. Akad. Nauk SSSR Ser. Mat., 55:3 (1991),  515–536  mathnet  mathscinet  zmath; Math. USSR-Izv., 38:3 (1992), 503–523  isi
121. A. Yu. Kolesov, “Self-oscillations of singularly perturbed parabolic systems of first degree of nonroughness”, Mat. Zametki, 49:5 (1991),  62–69  mathnet  mathscinet  zmath; Math. Notes, 49:5 (1991), 485–490  isi
122. A. Yu. Kolesov, “Existence and stability of relaxation travelling waves for the non-linear telegraph equation with a small diffusion”, Uspekhi Mat. Nauk, 46:2(278) (1991),  221–222  mathnet  mathscinet  zmath; Russian Math. Surveys, 46:2 (1991), 248–249  isi
123. A. Yu. Kolesov, E. F. Mishchenko, “On the mechanism of destruction of invariant torus of Van-der Pole relaxation system with harmonic influence on the slow variable”, Trudy Mat. Inst. Steklov., 200 (1991),  197–204  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 200 (1993), 219–226
124. E. F. Mishchenko, A. Yu. Kolesov, “Asymptotical theory of relaxational oscillations”, Trudy Mat. Inst. Steklov., 197 (1991),  3–84  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 197 (1993), 1–93
1990
125. A. Yu. Kolesov, Yu. S. Kolesov, “Bifurcation of self-induced oscillations of a singularly perturbed wave equation”, Dokl. Akad. Nauk SSSR, 315:2 (1990),  281–283  mathnet  mathscinet  zmath; Dokl. Math., 42:3 (1991), 754–756
126. A. Yu. Kolesov, E. F. Mishchenko, “The Pontryagin delay phenomenon and stable ducktrajectories for multidimensional relaxation systems with one slow variable”, Mat. Sb., 181:5 (1990),  579–588  mathnet  mathscinet  zmath; Math. USSR-Sb., 70:1 (1991), 1–10  isi
1989
127. A. Yu. Kolesov, Yu. S. Kolesov, “The Bogolyubov–Mitropol'skii reduction principle in the problem of parametric excitation of autowaves”, Dokl. Akad. Nauk SSSR, 307:4 (1989),  837–840  mathnet  mathscinet; Dokl. Math., 34:8 (1989), 680–681
128. A. Yu. Kolesov, “Relaxation parabolic systems”, Dokl. Akad. Nauk SSSR, 306:6 (1989),  1297–1300  mathnet  mathscinet  zmath; Dokl. Math., 39:3 (1989), 610–613
129. A. Yu. Kolesov, Yu. S. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “A mixing attractor in relaxation systems”, Dokl. Akad. Nauk SSSR, 306:1 (1989),  38–40  mathnet  mathscinet  zmath; Dokl. Math., 39:3 (1989), 446–448
130. A. Yu. Kolesov, E. F. Mishchenko, “A problem of Pontryagin”, Differ. Uravn., 25:11 (1989),  1888–1891  mathnet  mathscinet  zmath; Differ. Equ., 25:11 (1989), 1323–1325
131. A. Yu. Kolesov, “The structure of a neighborhood of a homogeneous cycle in a medium with diffusion”, Izv. Akad. Nauk SSSR Ser. Mat., 53:2 (1989),  345–362  mathnet  mathscinet  zmath; Math. USSR-Izv., 34:2 (1990), 355–372
132. A. Yu. Kolesov, Yu. S. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Chaos phenomena in three-dimensional relaxation systems”, Mat. Zametki, 46:2 (1989),  153–155  mathnet  mathscinet  zmath
133. A. Yu. Kolesov, “On the instability of duck-cycles arising during the passage of an equilibrium of a multidimensional relaxation system through the disruption manifold”, Uspekhi Mat. Nauk, 44:5(269) (1989),  165–166  mathnet  mathscinet  zmath; Russian Math. Surveys, 44:5 (1989), 203–205  isi
134. A. Yu. Kolesov, E. F. Mishchenko, “Existence and stability of the relaxation torus”, Uspekhi Mat. Nauk, 44:3(267) (1989),  161–162  mathnet  mathscinet  zmath; Russian Math. Surveys, 44:3 (1989), 204–205  isi
135. A. Yu. Kolesov, “Duck trajectories of relaxation systems connected with violation of the normal switching conditions”, Mat. Sb., 180:10 (1989),  1428–1438  mathnet  mathscinet  zmath; Math. USSR-Sb., 68:1 (1991), 291–301  isi
136. A. Yu. Kolesov, “A criterion for the stability of traveling waves of parabolic systems with small diffusion”, Sibirsk. Mat. Zh., 30:3 (1989),  175–179  mathnet  mathscinet  zmath; Siberian Math. J., 30:3 (1989), 484–488  isi
1988
137. A. Yu. Kolesov, Yu. S. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Multidimensional relaxation oscillations in media with diffusion”, Dokl. Akad. Nauk SSSR, 302:6 (1988),  1312–1315  mathnet  mathscinet  zmath; Dokl. Math., 38:2 (1989), 431–434  isi
138. A. Yu. Kolesov, “Description of the phase instability of a system of harmonic oscillators that are weakly connected by diffusion”, Dokl. Akad. Nauk SSSR, 300:4 (1988),  831–835  mathnet  mathscinet; Dokl. Math., 33:6 (1988), 413–415
139. A. Yu. Kolesov, Yu. S. Kolesov, “Construction of the normal form in a neighborhood of a cycle by means of the Krylov–Bogolyubov–Mitropol'skiǐ asymptotic method”, Differ. Uravn., 24:5 (1988),  891–894  mathnet  mathscinet  zmath
140. A. Yu. Kolesov, “Properties of a certain linear system connected with the stability of the relaxation cycle in media with diffusion”, Uspekhi Mat. Nauk, 43:3(261) (1988),  185–186  mathnet  mathscinet  zmath; Russian Math. Surveys, 43:3 (1988), 209–210  isi
141. A. Yu. Kolesov, Yu. S. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “A relaxation system in the neighbourhood of a disruption point: reduction to the regular case”, Uspekhi Mat. Nauk, 43:2(260) (1988),  141–142  mathnet  mathscinet  zmath; Russian Math. Surveys, 43:2 (1988), 173–174  isi
142. A. Yu. Kolesov, E. F. Mishchenko, “Asymptotics of relaxation oscilations”, Mat. Sb. (N.S.), 137(179):1(9) (1988),  3–18  mathnet  mathscinet  zmath; Math. USSR-Sb., 65:1 (1990), 1–17
1987
143. A. Yu. Kolesov, “Stability of relaxation auto-oscillations in systems with diffusion”, Dokl. Akad. Nauk SSSR, 294:3 (1987),  575–578  mathnet  mathscinet
144. A. Yu. Kolesov, Yu. S. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Asymptotic integration of the variational system of a multidimensional relaxation cycle. II”, Differ. Uravn., 23:12 (1987),  2036–2047  mathnet  mathscinet
145. A. Yu. Kolesov, Yu. S. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Asymptotic integration of the variational system of a multidimensional relaxation cycle. I”, Differ. Uravn., 23:11 (1987),  1881–1889  mathnet  mathscinet  zmath

2010
146. Yu. S. Osipov, V. V. Kozlov, L. D. Faddeev, D. V. Anosov, V. S. Vladimirov, R. V. Gamkrelidze, A. A. Gonchar, N. N. Krasovskii, A. V. Kryazhimskii, A. B. Kurzhanskii, S. P. Novikov, S. M. Aseev, A. B. Zhizhchenko, D. V. Treschev, A. A. Agrachev, E. A. Volkov, N. L. Grigorenko, A. A. Davydov, M. I. Zelikin, A. Yu. Kolesov, A. A. Mal'tsev, M. S. Nikol'skii, N. Kh. Rozov, A. G. Sergeev, K. O. Besov, S. P. Konovalov, “In memory of Evgenii Frolovich Mishchenko”, Tr. Mat. Inst. Steklova, 271 (2010),  7–8  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 271 (2010), 1–2  isi

Presentations in Math-Net.Ru
1. Феномен буферности и механизмы его возникновения
A. Yu. Kolesov, N. Kh. Rozov
Conference "Differential Equations and Optimal Control", dedicated to the 90th anniversary of E. F. Mishchenko
April 16, 2012 13:00   

Organisations
 
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