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

For citation:

Arzhanukhina D. S., Kuznetsov S. P. System of three non-autonomous oscillators with hyperbolic chaos. The model with DA-attractor. Izvestiya VUZ. Applied Nonlinear Dynamics, 2013, vol. 21, iss. 2, pp. 163-172. DOI: 10.18500/0869-6632-2013-21-2-163-172

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Language: 
Russian
Heading: 
Deterministic Chaos
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2013-21-2-163-172

System of three non-autonomous oscillators with hyperbolic chaos. The model with DA-attractor

Autors: 
Arzhanukhina Darja Sergeevna, Saratov State University
Kuznetsov Sergey Petrovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Abstract: 

We consider a system of three coupled non-autonomous van der Pol oscillators, in which the behavior of the phases over a characteridtic period is described approximately by the Fibonacci map with modification of the «Smale surgery», which leads to the appearance of DA-attractor («Derived from Anosov»). According to the numerical results, the attractor of the stroboscopic map is placed approximately on a two-dimensional torus embedded in the six-dimensional phase space and has transverse Cantor-like structure typical for this kind of attractrors.

Key words: 
hyperbolic chaos
Anosov map
Arnold’s cat map
Fibonacci map
DA-attractor
Reference: 
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Received: 
06.09.2012
Accepted: 
15.01.2013
Published: 
31.07.2013
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