Persons
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
 
Kolesov, Andrei Yurevich
Statistics Math-Net.Ru
Total publications: 166
Scientific articles: 165
Presentations: 2

Number of views:
This page:7882
Abstract pages:68250
Full texts:19985
References:7154
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

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

Publications in Math-Net.Ru Citations
2024
1. S. D. Glyzin, A. Yu. Kolesov, “Multidimensional hyperbolic chaos”, Funktsional. Anal. i Prilozhen., 58:4 (2024),  3–19  mathnet
2. D. S. Glyzin, S. D. Glyzin, A. Yu. Kolesov, “A new approach to mathematical modeling of chemical synapses”, Izvestiya VUZ. Applied Nonlinear Dynamics, 32:3 (2024),  376–393  mathnet
3. S. D. Glyzin, A. Yu. Kolesov, “Symmetric hyperbolic trap”, Mat. Zametki, 116:3 (2024),  372–387  mathnet; Math. Notes, 116:3 (2024), 446–457
2023
4. S. D. Glyzin, A. Yu. Kolesov, “Динамические системы на бесконечномерном торе: основы гиперболической теории”, Tr. Mosk. Mat. Obs., 84:1 (2023),  55–116  mathnet
5. S. D. Glyzin, A. Yu. Kolesov, “Topologically Mixing Diffeomorphisms on the Infinite-Dimensional Torus”, Mat. Zametki, 113:6 (2023),  929–934  mathnet; Math. Notes, 113:6 (2023), 859–863  scopus
6. S. D. Glyzin, A. Yu. Kolesov, “Self-oscillatory processes in a discrete $RCL$-line with a tunnel diode”, TMF, 215:2 (2023),  207–224  mathnet  mathscinet; Theoret. and Math. Phys., 215:2 (2023), 636–651  scopus 1
7. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Релаксационные автоволны в математических моделях экологии”, Tr. Semim. im. I. G. Petrovskogo, 33 (2023),  83–143  mathnet
2022
8. D. S. Glyzin, S. D. Glyzin, A. Yu. Kolesov, “Hunt for chimeras in fully coupled networks of nonlinear oscillators”, Izvestiya VUZ. Applied Nonlinear Dynamics, 30:2 (2022),  152–175  mathnet
9. S. D. Glyzin, A. Yu. Kolesov, “Hyperbolicity Criterion for Torus Endomorphisms”, Mat. Zametki, 111:1 (2022),  134–139  mathnet  mathscinet; Math. Notes, 111:1 (2022), 147–151  isi  scopus 2
10. S. D. Glyzin, A. Yu. Kolesov, “Elements of hyperbolic theory on an infinite-dimensional torus”, Uspekhi Mat. Nauk, 77:3(465) (2022),  3–72  mathnet  mathscinet; Russian Math. Surveys, 77:3 (2022), 379–443  isi  scopus 4
11. S. D. Glyzin, A. Yu. Kolesov, “A hyperbolicity criterion for a class of diffeomorphisms of an infinite-dimensional torus”, Mat. Sb., 213:2 (2022),  50–95  mathnet  mathscinet; Sb. Math., 213:2 (2022), 173–215  isi  scopus 5
12. S. D. Glyzin, A. Yu. Kolesov, “Periodic two-cluster synchronization modes in fully coupled networks of nonlinear oscillators”, TMF, 212:2 (2022),  213–233  mathnet  mathscinet; Theoret. and Math. Phys., 212:2 (2022), 1073–1091  scopus 2
13. S. D. Glyzin, A. Yu. Kolesov, “Traveling waves in fully coupled networks of linear oscillators”, Zh. Vychisl. Mat. Mat. Fiz., 62:1 (2022),  71–89  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 62:1 (2022), 66–83  isi  scopus 3
2021
14. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “On a mathematical model of the repressilator”, Algebra i Analiz, 33:5 (2021),  80–124  mathnet; St. Petersburg Math. J., 33:5 (2022), 797–828
15. S. D. Glyzin, A. Yu. Kolesov, “On some modifications of Arnold's cat map”, Dokl. RAN. Math. Inf. Proc. Upr., 500 (2021),  26–30  mathnet  zmath  elib; Dokl. Math., 104:2 (2021), 242–246  scopus 2
16. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “On a class of Anosov diffeomorphisms on the infinite-dimensional torus”, Izv. RAN. Ser. Mat., 85:2 (2021),  3–59  mathnet  elib; Izv. Math., 85:2 (2021), 177–227  isi  scopus 4
17. S. D. Glyzin, A. Yu. Kolesov, “Periodic modes of group dominance in fully coupled neural networks”, Izvestiya VUZ. Applied Nonlinear Dynamics, 29:5 (2021),  775–798  mathnet
18. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “On the Existence and Stability of an Infinite-Dimensional Invariant Torus”, Mat. Zametki, 109:4 (2021),  508–528  mathnet; Math. Notes, 109:4 (2021), 534–550  isi 1
2020
19. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Expansive Endomorphisms on the Infinite-Dimensional Torus”, Funktsional. Anal. i Prilozhen., 54:4 (2020),  17–36  mathnet  mathscinet  elib; Funct. Anal. Appl., 54:4 (2020), 241–256  isi  scopus 3
20. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Relaxation autowaves in a bi-local neuron model”, Tr. Mosk. Mat. Obs., 81:1 (2020),  41–85  mathnet  elib; Trans. Moscow Math. Soc., 81:1 (2020), 33–70  scopus
21. 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  mathscinet  zmath  elib; Russian Math. Surveys, 75:2 (2020), 197–252  isi  scopus 7
22. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “On Some Sufficient Hyperbolicity Conditions”, Trudy Mat. Inst. Steklova, 308 (2020),  116–134  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 308 (2020), 107–124  isi  scopus 7
23. 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 3
2019
24. 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 1
25. A. Yu. Kolesov, N. Kh. Rozov, V. A. Sadovnichii, “On the Hyperbolicity of Toral Endomorphisms”, Mat. Zametki, 105:2 (2019),  251–268  mathnet  mathscinet  elib; Math. Notes, 105:2 (2019), 236–250  isi  scopus 7
26. 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  mathscinet  elib; Sb. Math., 210:2 (2019), 184–233  isi  scopus 2
27. A. Yu. Kolesov, N. Kh. Rozov, V. A. Sadovnichii, “On a Mathematical Model of Biological Self-Organization”, Trudy Mat. Inst. Steklova, 304 (2019),  174–204  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 304 (2019), 160–189  isi  scopus
28. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Autowave processes in diffusion neuron systems”, Zh. Vychisl. Mat. Mat. Fiz., 59:9 (2019),  1495–1515  mathnet  elib; Comput. Math. Math. Phys., 59:9 (2019), 1434–1453  isi  scopus
2018
29. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “An approach to modeling artificial gene networks”, TMF, 194:3 (2018),  547–568  mathnet  mathscinet  elib; Theoret. and Math. Phys., 194:3 (2018), 471–490  isi  scopus 5
30. 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 14
2017
31. 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
32. 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 1
33. 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 11
34. 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 1
2016
35. 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 21
36. 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 7
37. 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 7
2015
38. 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 1
39. 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
40. 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 43
41. 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 2
2014
42. 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 16
43. 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
44. 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 1
45. 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
46. 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 5
47. S. D. Glyzin, A. Yu. Kolesov, N. Kh. Rozov, “Autowave processes in continual chains of unidirectionally coupled oscillators”, Trudy Mat. Inst. Steklova, 285 (2014),  89–106  mathnet  elib; Proc. Steklov Inst. Math., 285 (2014), 81–98  isi  elib  scopus 5
48. 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 4
49. 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 4
2013
50. 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 34
51. 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
52. 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 26
53. 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 2
54. 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 24
2012
55. 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 7
56. A. Yu. Kolesov, N. Kh. Rozov, “Discrete autowaves in systems of delay differential–difference equations in ecology”, Trudy Mat. Inst. Steklova, 277 (2012),  101–143  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 277 (2012), 94–136  isi  elib  scopus 3
57. 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 26
2011
58. 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 1
59. 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 13
60. 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 13
2010
61. 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 2
62. A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Buffer phenomenon in the spatially one-dimensional Swift–Hohenberg equation”, Trudy Mat. Inst. Steklova, 268 (2010),  137–154  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 268 (2010), 130–147  isi  elib  scopus 1
63. 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 58
64. 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 27
2009
65. 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 19
66. 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 9
67. 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 1
68. 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 15
2008
69. 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 11
70. A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Resonance Dynamics of Nonlinear Flutter Systems”, Trudy Mat. Inst. Steklova, 261 (2008),  154–175  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 261 (2008), 149–170  isi  elib  scopus 5
2007
71. 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 1
72. 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 1
73. 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”, Trudy Mat. Inst. Steklova, 259 (2007),  106–133  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 259 (2007), 101–127  elib  scopus 10
74. A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Attractors of the Sine-Gordon Equation in the Field of a Quasiperiodic External Force”, Trudy Mat. Inst. Steklova, 256 (2007),  219–236  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 256 (2007), 206–222  elib  scopus 1
2006
75. 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
76. 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
77. 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
78. 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 6
79. 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 6
80. 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 16
81. 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 3
2005
82. 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 33
83. 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 9
84. A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Buffer Phenomenon in Nonlinear Physics”, Trudy Mat. Inst. Steklova, 250 (2005),  112–182  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 250 (2005), 102–168 5
85. 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 3
2004
86. 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
87. 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 15
88. 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 1
2003
89. 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 25
90. 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 21
91. 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 3
92. 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 4
93. 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 4
2002
94. 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 2
95. 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 1
96. 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 5
97. 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 10
98. 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 6
2001
99. 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 6
100. 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 1
101. A. Yu. Kolesov, N. Kh. Rozov, “The Bufferness Phenomenon in the RCLG Seft-excited Oscillator: Theoretical Analysis and Experiment Results”, Trudy Mat. Inst. Steklova, 233 (2001),  153–207  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 233 (2001), 143–196 18
2000
102. 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 1
103. 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 17
104. 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 5
105. 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 9
106. A. Yu. Kolesov, N. Kh. Rozov, “Solvability of a nonclassical parabolic problem arising in radiophysics”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2000, no. 5,  12–19  mathnet  mathscinet  zmath
107. 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, no. 1,  21–26  mathnet  mathscinet  zmath
1999
108. 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 1
109. 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 9
110. A. Yu. Kolesov, N. Kh. Rozov, “Asymptotic theory of oscillations in the Vitt system”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 67 (1999),  5–68  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 105:1 (2001), 1697–1737 7
111. 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 4
112. A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Solution to Singularly Perturbed Boundary Value Problems by the Duck Hunting Method”, Trudy Mat. Inst. Steklova, 224 (1999),  187–207  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 224 (1999), 169–188 14
1998
113. 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 1
114. 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 9
115. 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
116. A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Asymptotic Methods of Investigation of Periodic Solutions of Nonlinear Hyperbolic Equations”, Trudy Mat. Inst. Steklova, 222 (1998),  3–191  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 222 (1998), 1–189 47
117. 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”, Trudy Mat. Inst. Steklova, 220 (1998),  157–172  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 220 (1998), 154–169 1
118. 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 5
1997
119. 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 4
120. 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
121. A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Relay with delay and its $C^1$-approximation”, Trudy Mat. Inst. Steklova, 216 (1997),  126–153  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 216 (1997), 119–146 32
1996
122. 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
123. 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 1
124. 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 10
125. 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
126. 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
127. 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 3
128. 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 4
129. 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 8
130. 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 9
1994
131. 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 1
132. 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 1
1993
133. 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 28
1992
134. 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 1
135. 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 11
136. 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 2
137. 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 8
1991
138. 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
139. 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 4
140. 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 8
141. 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
142. 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 1
143. 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 7
1990
144. 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 13
145. 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 5
1989
146. 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 2
147. 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
148. 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 1
149. 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 1
150. 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 3
151. 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 2
152. 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 2
153. 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 5
154. 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 1
155. 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 2
1988
156. 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 1
157. 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 5
158. 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 1
159. 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
160. 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 7
161. 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 8
1987
162. A. Yu. Kolesov, “Stability of relaxation auto-oscillations in systems with diffusion”, Dokl. Akad. Nauk SSSR, 294:3 (1987),  575–578  mathnet  mathscinet 2
163. 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 10
164. 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 11
2010
165. 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”, Trudy Mat. Inst. Steklova, 271 (2010),  7–8  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 271 (2010), 1–2  isi 1

Presentations in Math-Net.Ru
1. Systems of coupled singularly perturbed equations with delay
S. D. Glyzin, A. Yu. Kolesov
International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko
June 8, 2022 15:15   
2. 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
 
  Contact us:
  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024