一类四维多翼混沌系统及其电路实现  

A family of four-dimensional multi-wing chaotic system and its circuit implementation

作　　者：罗明伟[1] 罗小华[2] 李华青[3] 

机构地区：[1]重庆邮电大学自动化学院,重庆400065 [2]重庆邮电大学光电工程学院,重庆400065 [3]重庆大学计算机学院,重庆400044

出　　处：《物理学报》2013年第2期153-158,共6页Acta Physica Sinica

摘　　要：提出了一种产生多翼蝴蝶混沌吸引子的新方法.基于三维Lorenz系统,通过增加一个状态变量和一个分段线性函数,构造出一个四维多翼混沌系统.分析了系统的平衡点和Lyapunov指数谱.最后,设计出一个模拟电路,进行了电路实验.电路实验结果与数值仿真结果相一致,验证了该方法的可行性和有效性.A new method to generate multi-wing butterfly chaotic attractors is presented. Based on the three-dimensional Lorenz system,in this paper we propose a four-dimensional multi-wing chaotic system by appending a state variable and a piecewise linear function. The equilibrium points and Lyapunov exponent spectra of the system are studied. Furthermore, an electronic circuit is designed to implement the system. The experimental results are in agreement with numerical simulation results, which verify the feasibility and availability of this method.

关 键 词：混沌 LORENZ系统 四维多翼混沌系统 电路实现 

分 类 号：O415.5[理学—理论物理]