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.
出处
《郑州大学学报（理学版）》
CAS
北大核心
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
关键词
自治混沌系统
不同翼混沌吸引子
瞬时混沌
autonomous chaotic system
different wing chaotic attractor
transient chaos
