一种存在多翼混沌吸引子的新3D光滑自治系统  

A New 3D Smooth Autonomous System with Different Wing Chaotic Attractors

作　　者：琚宏昌[1] 张胜利[1] 王堂锐[1] 刘平伟[1] 李红远[1] 

机构地区：[1]广西科技大学鹿山学院土木工程系,广西柳州545616

出　　处：《郑州大学学报（理学版）》2014年第4期9-12,共4页Journal of Zhengzhou University:Natural Science Edition

基　　金：国家自然科学基金资助项目;编号51168006;广西省自然科学基金资助项目;编号2011GXNSFA01802

摘　　要：分析了在较大参数范围内具有复杂动力学行为的新3D二次自治混沌系统,研究了该系统的基本动力学行为.该混沌系统存在5个实平衡点.在一个参数变化的条件下,该系统可产生一翼、二翼、三翼和四翼混沌吸引子及周期运动,并且该系统在一定参数条件下发生瞬时混沌现象.数值模拟验证了分析的结果.A new 3D quadratic autonomous chaotic system displaying a complex dynamical behavior over a large range of parameters was analyzed. Some basic dynamical behaviors of the new system were studied. Five real equilibrium points existed in the new system. One-wing,two-wing,three-wing and fourwing chaotic attractors and periodic motion could be generated with variation of only one parameter. Furthermore,the transient chaos phenomenon happened in the system in certain parameter conditions. The obtained analytical results were verified by numerical simulations.

关 键 词：自治混沌系统 不同翼混沌吸引子 瞬时混沌 

分 类 号：O415[理学—理论物理]