Time-delay effects on the dynamics of Linard type equation with fast and slow variables  

Time-delay effects on the dynamics of Li e′nard type equation with fast and slow variables

作　　者：Yuanguang Zheng Lijuan Bao 

机构地区：[1]School of Mathematics and Information Science,Nanchang Hangkong University

出　　处：《Theoretical & Applied Mechanics Letters》2013年第6期47-50,共4页力学快报（英文版）

基　　金：supported by the National Natural Science Foundation of China(11102078 and 11032009);Foundation of Jiangxi Education Committee of China(GJJ1169)

摘　　要：Time-delay effects on the dynamics of Li^nard type equation with one fast variable and one slow variable are investigated in the present paper. By using the methods of stability switch and geometric singular perturbation, time-delay-induced complex oscillations and bursting are investigated, and in several case studies, the mechanism of the generation of the complex oscillations and bursting is illuminated. Numerical results demonstrate the validity of the theoretical results.Time-delay effects on the dynamics of Li^nard type equation with one fast variable and one slow variable are investigated in the present paper. By using the methods of stability switch and geometric singular perturbation, time-delay-induced complex oscillations and bursting are investigated, and in several case studies, the mechanism of the generation of the complex oscillations and bursting is illuminated. Numerical results demonstrate the validity of the theoretical results.

关 键 词：Lienard type equation TIME-DELAY stability switch singular perturbation 

分 类 号：O175[理学—数学]