ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Kruglov V. P. Technique and results of numerical test for hyperbolic nature of attractors for reduced models of distributed systems. Izvestiya VUZ. Applied Nonlinear Dynamics, 2014, vol. 22, iss. 6, pp. 79-93. DOI: 10.18500/0869-6632-2014-22-6-79-93

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Language: 
Russian
Heading: 
Science for Education
Article type: 
Article
UDC: 
517.9:541.12+544.4
DOI: 
10.18500/0869-6632-2014-22-6-79-93

Technique and results of numerical test for hyperbolic nature of attractors for reduced models of distributed systems

Autors: 
Kruglov Vjacheslav Pavlovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Abstract: 

A test of hyperbolic nature of chaotic attractors, based on an analysis of statistics distribution of angles between stable and unstable subspaces, is applied to reduced finite­dimensional models of distributed systems which are the modifications of the Swift–Hohenberg equation and Brusselator model, as well as to the problem of parametric excitation of standing waves by the modulated pump.

Key words: 
Uniformly hyperbolic attractor
structural stability
Lyapunov exponents
Reference: 
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Received: 
25.12.2014
Accepted: 
25.12.2014
Published: 
30.04.2015
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