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

For citation:

Adilova A. B., Kuznetsov A. P., Savin A. V. Complex dynamics in the system of two coupled discrete Rossler oscillators. Izvestiya VUZ. Applied Nonlinear Dynamics, 2013, vol. 21, iss. 5, pp. 108-119. DOI: 10.18500/0869-6632-2013-21-5-108-119

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Language: 
Russian
Heading: 
Bifurcations in Dynamical Systems
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2013-21-5-108-119

Complex dynamics in the system of two coupled discrete Rossler oscillators

Autors: 
Adilova Asel Bauyrzhanovna, Saratov State University
Kuznetsov Aleksandr Petrovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Savin Aleksej Vladimirovich, Saratov State University
Abstract: 

We considered the discrete map with quasi-periodic dynamics in the wide band of the parameters and investigated the structure of the parameter plane of two coupled maps. We revealed the doublings of 3D-tori, the systems of 2D-tori and synchronization tongues and the resonance web. Also we revealed the attractors with complex structure and the largest Lyapunov exponent close to zero.

Key words: 
Quasi-periodic behavior
Lyapunov exponents
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Received: 
06.02.2013
Accepted: 
06.02.2013
Published: 
31.12.2013
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