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This article is cited in 18 scientific papers (total in 18 papers)
From Chaos to Quasi-Periodicity
Alexander P. Kuznetsovab, Natalia A. Migunovab, Igor R. Sataeva, Yuliya V. Sedovaa, Ludmila V. Turukinaab a Kotel’nikov Institute of Radio Engineering and Electronics of RAS, Saratov Branch, ul. Zelenaya 38, Saratov, 410019 Russia
b Saratov State University, ul. Astrakhanskaya 83, Saratov, 410012 Russia
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.
Received: 19.01.2015
Citation:
Alexander P. Kuznetsov, Natalia A. Migunova, Igor R. Sataev, Yuliya V. Sedova, Ludmila V. Turukina, “From Chaos to Quasi-Periodicity”, Regul. Chaotic Dyn., 20:2 (2015), 189–204
Linking options:
https://www.mathnet.ru/eng/rcd53 https://www.mathnet.ru/eng/rcd/v20/i2/p189
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Abstract page: | 159 | References: | 27 |
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