Chatter dynamic analysis for Van der Pol Equation with impulsive effect via the theory of flow switchability

被引：13

作者：

Fu, Xilin ^{[1
]}

Zheng, Shasha ^{[1
]}

机构：

[1] Shandong Normal Univ, Sch Management Sci & Engn, Jinan 250014, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2014年 / 19卷 / 09期

基金：

中国国家自然科学基金; 高等学校博士学科点专项科研基金;

关键词：

Pulse phenomena; Van der Pol Equation; Vibration; Discontinuous; Transversal; DIFFERENTIAL-EQUATIONS; PULSE PHENOMENA; SYSTEMS;

D O I：

10.1016/j.cnsns.2013.12.036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the phenomenon of free vibrations in LC circuit was introduced as well as some restrictions in the application of triode. Then we optimize the problems and present a certain kind of Van der Pol Equations which can be considered as a class of second-order impulsive switched systems. To investigate the chatter dynamics on such system, we turn to look for conditions that keep the complex pulse phenomena absent. We introduce several conceptions of theory of flow switchability and analyze the flow's dynamical behaviors such as transversal property at a boundary in the normal direction of separation surface by constructing generic mappings. Some sufficient conditions for the absence of pulse phenomena and numerical illustrations of periodic motions are obtained. (C) 2014 Elsevier B. V. All rights reserved.

引用

页码：3023 / 3035

页数：13

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