Generalized Hopf bifurcation of a non-smooth railway wheelset system
发布时间：2020-07-02
点击次数：
DOI码：10.1007/s11071-020-05702-7
发表刊物：Nonlinear Dynamics
关键字：Wheelset; Center manifold theorem; Generalized Hopf bifurcation; Poincare map; ́Non- smooth system
摘要：In this paper, we investigate the general- ized Hopf bifurcation of a non-smooth railway wheelset system. It is to note that the system is a four-dimensional non-smooth differential equation. First, we show how to overcome the non-smoothness and reduce the four-dimensional system to a two- dimensional non-smooth system by the center mani- fold theorem. Since the two-dimensional central manifold is still non-smooth, we cannot apply the classical Hopf bifurcation theorem. Hence, we need to construct and analyze a Poincare ́ map so that a criterion for determining the generalized Hopf bifur- cation occurring in the system is given. Finally, to demonstrate our theoretical results, we also give some numerical simulations which are presented to exhibit the corresponding bifurcation diagrams.
合写作者：李登辉, 乐源, 谢建华
第一作者：缪鹏程
论文类型：期刊论文
通讯作者：陈和柏
学科门类：力学
文献类型：J
卷号：100
页面范围：3277-3293
是否译文：否
发表时间：2020-07-01