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2013
Impact Factor

Natalia Migunova

Astrahanskaya 83, Saratov, 410012, Russia
Saratov State University

Publications:

Kuznetsov A. P., Migunova N. A., Sataev I. R., Sedova Y. V., Turukina L. V.
From Chaos to Quasi-Periodicity
2015, vol. 20, no. 2, pp.  189-204
Abstract
Ensembles of several Rössler chaotic oscillators are considered. It is shown that a typical phenomenon for such systems is the emergence of different and sufficiently high dimensional invariant tori. The possibility of a quasi-periodic Hopf bifurcation and a cascade of such bifurcations based on tori of increasing dimension is demonstrated. The domains of resonance tori are revealed. Boundaries of these domains correspond to the saddle-node bifurcations. Inside the domains of resonance modes, torus-doubling bifurcations and destruction of tori are observed.
Keywords: chaos, quasi-periodic oscillation, invariant torus, Lyapunov exponent, bifurcation
Citation: Kuznetsov A. P., Migunova N. A., Sataev I. R., Sedova Y. V., Turukina L. V.,  From Chaos to Quasi-Periodicity, Regular and Chaotic Dynamics, 2015, vol. 20, no. 2, pp. 189-204
DOI:10.1134/S1560354715020070

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