| Rssler系统的分岔特性的深入探讨 |
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| 作者单位： | 兰州交通大学数理与软件工程学院 兰州730070 |
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| 摘 要： | 通过数值研究和仿真,分析了Rssler方程在不同相空间上吸引子特性和稳定性,利用分岔图和Lyapunov指数谱分析了分岔参数变化时系统的复杂非线性动力学行为。通过局部放大的分岔图验证了系统由倍周期分岔通向混沌的过程,揭示了系统内禀的复杂性。
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| 关 键 词： | Rssler系统 分岔 混沌 Lyapunov指数 相空间 拓扑熵 |
Bifurcation and chaos controlling of Rosslersystem |
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| Authors: | LI Xian-feng CHU Yan-dong ZHANG Jian-gang LIU Xiao-jun |
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| Abstract: | We analyzed the character and stability of the chaotic attractor of Rosslersystem in different phase spaces.The complex nonlinear behavior was concentrated on by bifurcation diagrams and Lyapunov exponents with the change of bifurcation parameter.And the route from periodic-doubling to chaos was demonstrated by local enlarged bifurcation diagrams. |
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| Keywords: | Rossler system bifurcation Lyapunov exponent phase space topology entropy |
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