Chaotic Characteristics of Fifth Nonlinear Duffing System Under Parametric Excitation

摘要：

Consider the parametric excitation,studied the characteristics of fifth nonlinear duffing chaotic system. By applying geometric theory of dynamical systems,bifurcation theory and infinitesimal calculus,obtain the homoclinic orbit of fifth duffing equation. Using Melnikov method determines the initial chaotic condition of system and perturbation equation. By means of numerical calculation and computer simulation analysis,get the numerical solution,and on this basis to draw a clear chaos picture and continuous repetition of the Poincare map. Numerical simulations show that this method is an extraordinary effective method to study the fifth nonlinear duffing system.

关键词： Duffing system chaos parametric excitation numerical simulation

作者: Hui Li Bing-Hua Wu Lei Zhang Ai-Zeng Li

作者单位: Department of Traffic Engineering,Henan University of Urban Construction,Pingdingshan,Henan Province,China

会议类型: 国际会议

会议名称: 2011 International Conference on Opto-Electronics Engineering and Information Science(2011光电电子工程与信息科学国际会议 ICOEIS 2011)

会议地点: 西安

会议语种:英文

页码: 2318-2321

在线出版日期: 2011-12-23（万方平台首次上网日期，不代表论文的发表时间）