Basins of coexisting multi-dimensional tori in a vibro-impact system
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- 作者：Huaguang Zhang ; Yongxiang Zhang ; Guanwei Luo
- 关键词：Basin of attraction ; Coexisting attractors ; Vibro ; impact ; Poincaré map ; Lyapunov dimension
- 刊名：Nonlinear Dynamics
- 出版年：2015
- 出版时间：February 2015
- 年：2015
- 卷：79
- 期：3
- 页码：2177-2185
- 全文大小：1,351 KB
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- 刊物主题：Vibration, Dynamical Systems and Control
Mechanics
Mechanical Engineering
Automotive and Aerospace Engineering and Traffic- 出版者：Springer Netherlands
- ISSN：1573-269X
文摘
Based on the method of Poincaré mapping under cell reference, we describe basins of attraction for coexisting multi-dimensional tori attractors in a three-degree-of-freedom vibro-impact system. Because the multi-dimensional tori attractors are very rare in the low-dimensional systems, we find that these coexisting tori attractors have positive measure basins in the sense of Milnor. The coexisting multi-dimensional tori attractors can be distinguished by the exactly Poincaré mapping and Lyapunov dimension. The basin of attraction can be estimated by the limit cycle in the Poincaré section from the viewpoint of engineering.