| 非光滑动力系统1 |
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| 作者姓名： | 李爽 贺群 |
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| 作者单位： | 132,西安财经学院统计学院;?武警工程学院基础部数学教研室 |
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| 摘 要： | 分析了图胞映射方法在处理非光滑动力系统过程中遇到的关键问题——胞流扩张。为了有效减小胞流扩张,基于迭代图胞映射方法,通过引入人工顶点集的概念,构建了非光滑系统迭代图胞映射具体实施方案,讨论了在此过程中值得注意的事项。结合典型实例分析,证实了该方法的有效性。
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| 关 键 词： | 迭代图胞映射方法 非光滑 全局分析 吸引子 混沌鞍 |
| 收稿时间： | 2011/6/30 0:00:00 |
| 修稿时间： | 2011/6/30 0:00:00 |
The iterative digraph cell mapping methodof non-smoothdynamical systems 1) |
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| Authors: | Li Shuang and He Qun |
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| Abstract: | The key problem named expansion of cell flow is discussed in detail when the digraph cell mapping method is applied to analyze non-smooth dynamical systems. In order to decrease the expansion of cell flow in non-smooth dynamical systems, through introducing the notion of the artificial node set, the effective algorithm of the iterative digraph cell mapping is designed to improve the computing accuracy, and some remarks are also given. As an illustrative example, the Duffing-van der Pol vibro-impact system is taken to demonstrate the validity of the proposed method. |
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| Keywords: | the iterative digraph cell mapping method non-smooth global analysis attractors chaotic saddles |
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