冲击系统中的混沌动力学和分岔

Int. J. Energy Optim. Eng. Pub Date : 2012-10-01 DOI:10.4018/ijeoe.2012100102

S. Kryzhevich

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引用次数: 4

摘要

研究了由若干二阶微分方程和一个冲击条件描述的动力系统的分岔问题。结果表明，当周期解的影响次数增加时，参数的变化会导致双曲型混沌不变量集的出现。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Chaotic Dynamics and Bifurcations in Impact Systems

Bifurcations of dynamical systems described byseveral second order differential equations and by an impact condition are studied. It is shown that the variation of parameters when the number of impacts of a periodic solution increases, leads to the occurrence of a hyperbolic chaotic invariant set.

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Int. J. Energy Optim. Eng.

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