From chaos to quasi-periodicity

被引：0
|
作者：
Alexander P. Kuznetsov
Natalia A. Migunova
Igor R. Sataev
Yuliya V. Sedova
Ludmila V. Turukina
机构：
[1] Kotel’nikov Institute of Radio Engineering and Electronics of RAS,Saratov Branch
[2] Saratov State University,undefined
来源：
Regular and Chaotic Dynamics | 2015年 / 20卷
关键词：
chaos; quasi-periodic oscillation; invariant torus; Lyapunov exponent; bifurcation; 70K43; 65P20; 65P30; 34D08;
D O I：
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中图分类号：
学科分类号：
摘要：
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.
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页码：189 / 204
页数：15
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