Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (19): 145-149.

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Multi-core chaotic motion analysis of nonlinear system with five equilibrium points

KONG Lingyun1, FAN Yangyu2, ZHOU Jingchao1   

  1. 1.Robot and Automation Research Institute, Huanghe Science & Technology College, Zhengzhou 450063, China
    2.School of Electronics and Information, Northwestern Polytechnical University, Xi’an 710072, China
  • Online:2012-07-01 Published:2012-06-27

五平衡点非线性系统的多核混沌运动分析

孔令云1,樊养余2,邹景超1   

  1. 1.黄河科技学院 机器人与自动化研究所,郑州 450063
    2.西北工业大学 电子信息学院,西安 710072

Abstract: The quantity and characteristic of chaotic attractors in rigid-body attitude dynamical system is researched and the attribute of five equilibria is analyzed. The state trajectory of system near each equilibria is constringency along some direction, or is emanative along another direction. These state trajectories come into being periodic attractors or chaotic attractors with single-core, or two-core, or three-core, or fore-core. There are innumerable chaotic attractors in this system.

Key words: chaos, chaotic attractor, mechanism of chaos, rigid-body attitude dynamical system

摘要: 研究了外力矩作用下刚体转动动力学系统存在的混沌吸引子类型、数量和特性,分析了5个平衡点的属性。系统状态在5个平衡点邻域沿某方向的收敛和沿某方向的发散,可以形成各种各样的周期吸引子,单核、双核、三核、连体四核、单体四核混沌吸引子。该系统中包含的各类混沌运动形式复杂,吸引子种类繁多。

关键词: 混沌, 混沌吸引子, 混沌机理, 刚体转动动力学系统