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	Constructing a new chaotic system based on the Silnikov criterion
	Tianshou Zhou ; Guanrong Chen ; Qigui Yang
	2010-05-06 ; 2010-05-06
关键词	Theoretical or Mathematical/ bifurcation chaos numerical analysis/ chaotic system Silnikov criterion Smale horseshoes homoclinic chaos numerical simulation period-doubling bifurcations chaotic attractors/ A0545 Theory and models of chaotic systems A0547 Nonlinear dynamical systems and bifurcations A0260 Numerical approximation and analysis
中文摘要	Based on the Silnikov criterion, a simple quadratic chaotic system is constructed, which has a single equilibrium point. The formation mechanism shows that this chaotic system has Smale horseshoes (homoclinic chaos), and numerical simulation demonstrates that there is a route to chaos through period-doubling bifurcations. In particular, the method of finding chaotic systems can be used to construct rather arbitrary chaotic attractors of even number of scrolls and arbitrary odd number of scrolls.
语种	英语 ; 英语
出版者	Elsevier ; UK
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/14250]
专题	清华大学
推荐引用方式 GB/T 7714	Tianshou Zhou,Guanrong Chen,Qigui Yang. Constructing a new chaotic system based on the Silnikov criterion[J],2010, 2010.
APA	Tianshou Zhou,Guanrong Chen,&Qigui Yang.(2010).Constructing a new chaotic system based on the Silnikov criterion..
MLA	Tianshou Zhou,et al."Constructing a new chaotic system based on the Silnikov criterion".(2010).

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