一个三维四翼混沌系统的分岔分析及其电路实现
Bifurcation analysis and circuit implementation of a 3D four-wing chaotic system
鲍慧玲 1薛华2
作者信息
- 1. 上海科学技术职业学院 通信与电子信息系，上海 201800
- 2. 滨州学院 物理与电子科学系，山东 滨州 256603
- 折叠
摘要
文章提出了一个新的含有5个平衡点的三维四翼混沌系统，深入分析了所有平衡点的Hopf分岔和全局分岔过程。理论分析证明，在特定平衡点上能产生 Hopf分岔现象；Lyapunov指数和数值分岔分析证明，当系统的参数发生变化时，系统轨迹由不动点过渡到周期轨、混沌吸引子；最后利用模拟器件设计了该混沌系统的硬件电路，理论分析与电路实验结果一致，电路实验验证了三维四翼混沌系统的存在性。
Abstract
In this paper ,a novel 3D four-wing chaotic system which contains five balance points is pres-ented .The Hopf bifurcation and global bifurcation process of the balance points are investigated ,and the Hopf bifurcation phenomenon are proved to arise at certain balance points through the theoretical analysis .The results of Lyapunov index and numerical bifurcation analysis show that ,when the sys-tem parameters vary ,the system trajectory transits from fixed point to cycle track ,then to chaotic at-tractor .Finally ,the hardware circuit of the system is designed by analog devices .The results of theo-retical analysis and those of circuit experiment are consistent ,and the existence of 3D four-wing cha-otic system is verified by the circuit realization .
关键词
Hopf分岔/四翼混沌系统/分岔分析/混沌电路Key words
Hopf bifurcation/four-wing chaotic system/bifurcation analysis/chaotic circuit引用本文复制引用
基金项目
国家自然科学基金资助项目(60971046)
出版年
2014
NETL
NSTL
维普
万方数据