新的五维自治混沌系统及其电路仿真  

New Five-Dimensional Chaotic System and Its Circuit Simulation

作　　者：杨留猛[1] 俞建宁[1] 安新磊[1] 张建刚[1] 张文娟[1] 

机构地区：[1]兰州交通大学数理与软件工程学院,甘肃兰州730070

出　　处：《云南民族大学学报（自然科学版）》2012年第6期446-451,共6页Journal of Yunnan Minzu University:Natural Sciences Edition

基　　金：甘肃省自然科学基金(1010RJZA066;1010RJZA067)

摘　　要：通过引入非线性控制器,得出一个新的只含有一个非线性项的五维动力系统,通过对系统的平衡点、李雅普诺夫指数和李雅普诺夫维数、庞加莱截面等的研究,分析得出系统处于混沌状态的参数及处于混沌状态时系统的特征,对系统混沌状态进行Matlab数值仿真.通过构造符合该混沌系统的电路,运用Multisim软件进行电路仿真实验,将结果与数值仿真结果对比,验证系统特征.A new five -dimensional continuous -time autonomous chaotic system with only one nonlinear term is proposed in this paper, which is built by adding a nonlinear controller to a four - dimensional continuous - time autonomous chaotic system. The system is analyzed by studying the equilibrium points, Lyapunov exponents, Lyapunov dimension and Poincare section. The circuit of the new chaotic system is also given through converting the mathematical model into the circuit equation, and confirms that the chaotic system is in existence with the software of Multisim.

关 键 词：混沌 LYAPUNOV指数 MULTISIM仿真 电路仿真 

分 类 号：TN710[电子电信—电路与系统]