Singular analysis of bifurcation systems with two parameters

作     者：Zhaohong Qin Yushu Chen 

作者机构：School of Astronautics Harbin Institute of Technology 150001 Harbin China 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：2010年第26卷第3期

页      面：501-507页

核心收录：

学科分类：07[理学] 08[工学] 070104[理学-应用数学] 080101[工学-一般力学与力学基础] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：supported by the National Natural Science Foundation of China(10632040) 

主　　题：Two parameters Bifurcation Singular analysis 

摘      要：Bifurcation properties of dynamical systems with two parameters are investigated in this paper. The definition of transition set is proposed, and the approach developed is used to investigate the dynamic characteristic of the nonlin- ear forced Duffing system with nonlinear feedback controller. The whole parametric plane is divided into several persistent regions by the transition set, and then the bifurcation dia- grams in different persistent regions are obtained.