Dynamical analysis and vibration control of a novel chaotic system with infinite equilibria
Sun Changchun 1 , Chen Zhongtang 1, Hou Xianglin 2
1. School of Science, Shenyang Jianzhu University, Shenyang 110168, China
2. School of Mechanical Engineering, Shenyang Jianzhu University, Shenyang 110168, China
Abstract：A novel three-dimensional chaotic system is derived in this paper. Strange dynamical behaviors are investigated by theoretical analysis and numerical simulations. The system has infinite equilibria located a hyperbola in a plane. Symmetric hidden attractors can be generated via a combinational transformation on state and parameter. Chaos is invariant under a double-parameter symmetric transformation. Simultaneously, a larger orbital transition phenomenon appears. Finally, a linear state feedback controller with an adjustable parameter is designed to eliminate chaos within a finite time.
收稿日期: 2016-04-01
出版日期: 2017-10-28
引用本文:
孙常春1，陈仲堂1，侯祥林2. 具有无穷平衡点的新混沌系统动力学分析与振动控制[J]. 振动与冲击, 2017, 36(21): 220-224.
Sun Changchun 1,Chen Zhongtang 1, Hou Xianglin 2. Dynamical analysis and vibration control of a novel chaotic system with infinite equilibria. JOURNAL OF VIBRATION AND SHOCK, 2017, 36(21): 220-224.
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