RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 
Kolesov, Andrei Yur'evich

Statistics Math-Net.Ru
Total publications: 130
Scientific articles: 129
Presentations: 1

Number of views:
This page:4626
Abstract pages:40363
Full texts:8641
References:3751
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://orcid.org/0000-0001-5066-0881

Publications in Math-Net.Ru
2019
1. 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
2. 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
3. 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
4. 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
5. 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
6. 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
7. 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
8. 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
9. 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
10. 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. 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
12. 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
13. 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
14. 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
15. 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
16. 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
17. 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
18. 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
19. 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
20. 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
21. 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
22. 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
23. 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
24. 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
25. 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
26. 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
27. 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
28. 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
29. 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
30. 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
31. 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
32. 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
33. 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
34. 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
35. 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
36. 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
37. 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
38. 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
39. 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
40. 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
41. 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
42. 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
43. 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
44. 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
45. 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
46. 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
47. 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
48. 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
49. 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
50. 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
51. 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
52. 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
53. 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
54. 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
55. 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
56. 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
57. 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
58. 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
59. 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
60. 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
61. 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
62. 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
63. 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
64. 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
65. 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
66. 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
67. 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
68. 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
69. 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
70. 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
71. 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
72. 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
73. 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
74. 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
75. 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
76. 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
77. 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
78. 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
79. 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
80. 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
81. 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
82. 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
83. 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
84. 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
85. 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
86. 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
87. 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
88. 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
89. 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
90. 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
91. 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
92. 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
93. 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
94. 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
95. 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
96. 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
97. 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
98. 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
99. 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
100. 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
101. 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
102. 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
103. 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
104. 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
105. 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
106. 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
107. 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
108. 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
109. 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
110. 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
111. 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
112. 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
113. 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
114. 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
115. 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
116. 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
117. 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
118. 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
119. 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
120. 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
121. 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
122. 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
123. 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
124. 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
1988
125. 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
126. 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
127. 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
128. 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
129. 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
130. 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
131. 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
132. 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
 
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019