Effects of the High Order Terms on Periodic Solution Bifurcations of the Generalized Duffing Systems

摘要：

　　This paper focuses on the effects of the high order term in Duffing equation.Firstly the averaging equation and the bifurcation equation are deduced through the multiple scale method.Secondly,the transition sets and several different bifurcation diagrams are obtained based on the singularity theory.The result shows that the high order term induces richer bifurcation characteristics.

关键词： duffing system transition sets stability bifurcation

作者: Shi-Dong Chen Zhi-Qiang Wu Ming Gao

作者单位: Department of Mechanics, Tianjin University, Tianjin, China

会议类型: 国际会议

会议名称: 第16届机电一体化技术国际会议

会议地点: 天津

会议语种:英文

页码: 252-256

在线出版日期: 2012-10-16（万方平台首次上网日期，不代表论文的发表时间）