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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