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1

Self-excited wave processes in chains of diffusion-linked delay equations

Kolesov, Andrei Yu, Rozov, Nikolai Kh

Journal:

Russian Mathematical Surveys

Year:

2012

Language:

english

File:

PDF, 809 KB

english, 2012

2

Multifrequency parametric resonance in a non-linear wave equation

Kolesov, Andrei Yu, Rozov, Nikolai Kh

Journal:

Izvestiya Mathematics

Year:

2002

Language:

english

File:

PDF, 1.55 MB

english, 2002

3

The existence of countably many stable cycles for a generalized cubic Schrödinger equation in a planar domain

Kolesov, Andrei Yu, Rozov, Nikolai Kh

Journal:

Izvestiya Mathematics

Year:

2003

Language:

english

File:

PDF, 2.31 MB

english, 2003

4

Multifrequency self-oscillations in two-dimensional lattices of coupled oscillators

Kolesov, Andrei Yu, Mishchenko, Evgenii F, Rozov, Nikolai Kh

Journal:

Izvestiya Mathematics

Year:

2011

Language:

english

File:

PDF, 1.39 MB

english, 2011

5

Relaxation self-oscillations in Hopfield networks with delay

Glyzin, Sergei D, Kolesov, Andrei Yu, Rozov, Nikolai Kh

Journal:

Izvestiya Mathematics

Year:

2013

Language:

english

File:

PDF, 744 KB

english, 2013

6

On the definition of 'chaos'

Kolesov, Andrei Yu, Rozov, Nikolai Kh

Journal:

Russian Mathematical Surveys

Year:

2009

Language:

english

File:

PDF, 1.12 MB

english, 2009

7

The theory of relaxation oscillations for Hutchinson's equation

Kolesov, Andrei Yu, Rozov, Nikolai Kh

Journal:

Russian Academy of Sciences Sbornik Mathematics

Year:

2011

Language:

english

File:

PDF, 439 KB

english, 2011

8

Smoothing the discontinuous oscillations in the mathematical model of an oscillator with distributed parameters

Kolesov, Andrei Yu, Rozov, Nikolai Kh

Journal:

Izvestiya Mathematics

Year:

2006

Language:

english

File:

PDF, 116 KB

english, 2006

9

Properties of a certain linear system connected with the stability of the relaxation cycle in media with diffusion

Kolesov, Andrei Yu

Journal:

Russian Mathematical Surveys

Year:

1988

Language:

english

File:

PDF, 212 KB

english, 1988

10

A relaxation system in the neighbourhood of a disruption point: reduction to the regular case

Kolesov, Andrei Yu, Kolesov, Yu S, Mishchenko, E F, Rozov, Nikolai Kh

Journal:

Russian Mathematical Surveys

Year:

1988

Language:

english

File:

PDF, 162 KB

english, 1988

11

Chaos of 'split torus' type in three-dimensional relaxation systems

Kolesov, Andrei Yu, Kolesov, Yu S, Rozov, Nikolai Kh

Journal:

Russian Academy of Sciences Sbornik Mathematics

Year:

1997

Language:

english

File:

PDF, 183 KB

english, 1997

12

The buffer property in resonance systems of non-linear hyperbolic equations

Kolesov, Andrei Yu, Mishchenko, E F, Rozov, Nikolai Kh

Journal:

Russian Mathematical Surveys

Year:

2000

Language:

english

File:

PDF, 711 KB

english, 2000

13

The buffer phenomenon in a mathematical model of the van der Pol self-oscillator with distributed parameters

Kolesov, Andrei Yu, Rozov, Nikolai Kh

Journal:

Izvestiya Mathematics

Year:

2001

Language:

english

File:

PDF, 459 KB

english, 2001

14

The diffusion-buffer phenomenon in a mathematical model of biology

Kolesov, Andrei Yu, Rozov, Nikolai Kh

Journal:

Izvestiya Mathematics

Year:

1998

File:

PDF, 1.55 MB

1998

15

Impact of quadratic non-linearity on the dynamics of periodic solutions of a wave equation

Kolesov, Andrei Yu, Rozov, Nikolai Kh

Journal:

Russian Academy of Sciences Sbornik Mathematics

Year:

2002

Language:

english

File:

PDF, 801 KB

english, 2002

16

The buffering phenomenon in a resonance hyperbolic boundary-value problem in radiophysics

Kambulov, V F, Kolesov, Andrei Yu

Journal:

Russian Academy of Sciences Sbornik Mathematics

Year:

1995

Language:

english

File:

PDF, 234 KB

english, 1995

17

The buffer property in a non-classical hyperbolic boundary-value problem from radiophysics

Kolesov, Andrei Yu, Rozov, Nikolai Kh

Journal:

Russian Academy of Sciences Sbornik Mathematics

Year:

2006

Language:

english

File:

PDF, 472 KB

english, 2006

18

Existence and stability of the relaxation torus

Kolesov, Andrei Yu, Mishchenko, E F

Journal:

Russian Mathematical Surveys

Year:

1989

Language:

english

File:

PDF, 150 KB

english, 1989