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

For citation:

Turukina L. V., Pikovsky A. S. Hyperbolic chaos in a system of nonlinear coupled Landau-Stuart oscillators. Izvestiya VUZ. Applied Nonlinear Dynamics, 2009, vol. 17, iss. 2, pp. 99-113. DOI: 10.18500/0869-6632-2009-17-2-99-113

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Language: 
Russian
Heading: 
Deterministic Chaos
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2009-17-2-99-113

Hyperbolic chaos in a system of nonlinear coupled Landau-Stuart oscillators

Autors: 
Turukina L. V., Saratov State University
Pikovsky Arkady Samuilovich, Potsdam University
Abstract: 

Chaotic dynamics of a system of four nonlinear coupled non-identical LandauStuart oscillators is considered. Subsystems are activated alternately by pairs due to a slow variation of their parameters responsible for the Andronov–Hopf bifurcation. It is shown, that system dynamics depends of coupling type. Different types of phase map (Bernoulli type map) are obtained in Poincare section depending of coupling. Some systems with different type of coupling corresponded to «maximum» and «minimum» chaos are investigated. 

Key words: 
Coupled oscillators
hyperbolic attractor
chaotic dynamics
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Received: 
11.01.2009
Accepted: 
11.01.2009
Published: 
30.06.2009
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