Analysis and Simulation of Chaotic Character of Some Stochastic Nonlinear Dynamic Systems

摘要：

The condition for onset of chaotic motion in the sense of Smale horseshoe transform in some nonlinear dynamic systems Litnard equation under excitation of bounded noise is studied. Discussing two especial types of Lienard equation and using Melnikov method we obtain the necessary condition for occurrence of chaotic motion in the sense of Smale horseshoe transform in the two especial types of Lienard equation in the mean sense and the mean square sense. By adding stochastic item in the Runge-Kutta method, the conclusion we obtained in the theoretic analysis is approved by the numerical simulation.

关键词： bounded noise stochastic Melnikov process Smale horseshoe transform

作者: Qin Gao

作者单位: School of Science, Tianjin Polytechnic University, 300160, P.R. China

会议类型: 国际会议

会议名称: 第四届亚太地区混沌控制与同步会议(The Fourth Asia-Pacific Workshop on Chaos Control and Synchronization)

会议地点: 哈尔滨

会议语种:英文

页码: 93-98

在线出版日期: 2007-08-24（万方平台首次上网日期，不代表论文的发表时间）