一类非线性结构动力系统的混沌运动分析

Analysis on the Chaotic Motions of Some Nonlinear Dynamic Systems

摘要: 讨论一类非线性结构动力系统混沌运动的条件。利用Melnikov函数法对相应的非线性动力方程进行分析,得出了系统出现Smale混沌运动时系统参数之间的关系。
- 非线性 /
- 动力系统 /
- 异宿轨 /
- Melnikov函数 /
- Smale混沌
Abstract: The conditions for chaotic motions of some dynamical systems with nonlinear structures are studied in this paper. The relationship between existence of Smale horseshoes and mechanical system parameters is obtained by applying the Melnikov analytical method.
- nonlinear /
- dynamical systems /
- heteroclinic orbit /
- Melnikov function /
- Smale horseshoe chaos

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