MOTION TYPES AND CHAOS OF MULTI-BODY SYSTEMS VIBRATING WITH IMPACTS

作     者：Shu Zhongzhou Southwest Jiaotong University,Chengdu 610031,China 

作者机构：1. Southwest Jiaotong University 610031 Chengdu China 

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

年 卷 期：1991年第7卷第4期

页      面：369-375页

核心收录：

学科分类：08[工学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：The project supported by National Natural Science Foundation of China 

主　　题：multi-body impact vibrations recurrent motion chaos 

摘      要：In this paper,the limit sets theory for an autonomous dynamical system is generalized to a multi-body system vibrating with *** discover that if every motion of the system is bounded,it has only four different types:periodic motion 7 t,non-periodic recurrent motion γ2,and non-Poisson stable mo- tions γ3 and γ4 approaching γ1 and γ2, respectively.γ2 is the source of *** is very interesting that cha- otic motions seem stochastic but possess the character of *** way of example,we discuss chaotic motions of a small ball bouncing vertically on a massive vibrating *** result obtained by us is different from that obtained by Holmes.