Chattering bifurcations in a Duffing unilateral vibro-impact system

被引：21

作者：

Feng Jin-Qian ^{[1
,2
]}

Xu Wei ^{[1
]}

Niu Yu-Jun ^{[1
]}

机构：

[1] Northwestern Polytech Univ, Dept Appl Math, Xian 710072, Peoples R China

[2] Xian Polytech Univ, Coll Sci, Xian 710048, Peoples R China

来源：

ACTA PHYSICA SINICA | 2010年 / 59卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Duffing vibro-impact system; tail mapping; chattering bifurcation; CHAOS;

D O I：

10.7498/aps.59.157

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A tail-mapping is introduced to deal with the tail impacts caused by the Chattering, and based on which, an effective numerical method is suggested to simulate the chattering in the vibro-impact system. As an illustrative example, a Duffing unilateral vibro-impact system is investigated. The results show the evidence of complete and incomplete chattering. We also investigate two novel chattering bifurcations, including transitions from complete to incomplete chattering and incomplete chattering period to aperiodic motion.

引用

页码：157 / 163

页数：7

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