%0 Journal Article
%T Chaotic motion of some relative rotation nonlinear dynamic system<br>一类相对转动非线性动力系统的混沌运动
%A Shi Pei-Ming
%A Liu Bin
%A Hou Dong-Xiao
%A <br>时培明
%A 刘 彬
%A 侯东晓
%J 物理学报
%D 2008
%I 
%X The chaotic motion of a relative rotation nonlinear dynamic system possessing both homoclinic and heteroclinic orbits is investigated. Firstly, the dynamics equation of relative rotation nonlinear dynamics system with nonlinear stiffness and nonlinear damping and forcing excitation is deduced. Secondly, a global bifurcation of the system and a probable route leading to chaos have been discussed by using Melnikov method, and the necessary condition of chaotic motion of system is presented. The chaotic motion of system is complemented by top Lyapunov exponents maps, bifurcation maps, Poincare maps and phase plane plots.
%K relatively rotation
%K nonlinear dynamics system
%K chaos
%K Melnikov method<br>相对转动，
%K 非线性动力系统，
%K 混沌，
%K Melnikov方法
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=767525CE2DFAF0E18F54A233BC6E5CAE&yid=67289AFF6305E306&vid=11B4E5CC8CDD3201&iid=38B194292C032A66&sid=4882B246E68CA8CB&eid=F016DE22306D4D4A&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=35