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

For citation:

Arzhanukhina D. S. On scenarios of hyperbolic chaos destruction in model maps on torus with dissipative perturbation. Izvestiya VUZ. Applied Nonlinear Dynamics, 2012, vol. 20, iss. 1, pp. 117-123. DOI: 10.18500/0869-6632-2012-20-1-117-123

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Language: 
Russian
Heading: 
Bifurcations in Dynamical Systems
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2012-20-1-117-123

On scenarios of hyperbolic chaos destruction in model maps on torus with dissipative perturbation

Autors: 
Arzhanukhina Darja Sergeevna, Saratov State University
Abstract: 

In this paper we investigate modified «Arnold cat» map with dissipative terms, in which a hyperbolic chaos exists for small perturbation magnitudes, and in a certain range a hyperbolic chaotic attractor with Cantor transversal structure takes place, collapsing with a further perturbation amplitude increase.

Key words: 
Attractor
hyperbolic chaos
Lyapunov exponent
Reference: 
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Received: 
13.02.2012
Accepted: 
13.02.2012
Published: 
20.04.2012
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