非线性RLC串联电路中混沌现象的研究  

Study of chaotic phenomenon in nonlinear RLC series circuit

作　　者：史水娥[1] 裴东[1] 

机构地区：[1]西北师范大学物理与电子工程学院,甘肃兰州730070

出　　处：《国外电子元器件》2008年第10期5-7,共3页International Electronic Elements

基　　金：河南省教育厅自然科学研究计划项目(2008B510027)

摘　　要：通过回顾混沌现象的历史研究,介绍了混沌的Li-Yoke定义及其特征;分析了非线性RLC串联电路的电路方程和参数,并利用梅利尼科夫(Melnikov)方法推断出非线性RLC串联电路中存在的混沌现象。最后通过计算机模拟结果证实了该方法的有效性。指出采用数值方法求得的李雅普诺夫(Lyapunov)指数存在正指数,这更加说明非线性RLC串联电路中存在着混沌现象。Through retrospection of the history study of the chaotic phenomenon,this paper introduces the definition and feature of Li-Yoke chaotic phenomenon,analyzes the circuit equations and parameters of nonlinear RLC series circuit,and finally infers the chaotic phenomena in nonlinear RLC series circuit using Melnikov method.The method is proved to be true according to the result of computer simulation.The existence of positive Lyapunov exponents is evaluated by mathematic means.It shows the chaotic phenomena is in nonlinear RLC series circuit.

关 键 词：电源 串联电路/混沌 庞加莱映射 

分 类 号：N941.7[自然科学总论—系统科学]