Duffing单边碰撞系统的混沌鞍合并激变  

Merging crisis of chaotic saddle in a Duffing unilateral vibro-impact system

作　　者：冯进钤[1] 徐伟[2] 

机构地区：[1]西安工程大学理学院,西安710048 [2]西北工业大学理学院,西安710072

出　　处：《物理学报》2011年第8期53-58,共6页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10872165);陕西省教育厅科研计划(批准号:2010JK557)资助的课题~~

摘　　要：以典型的Duffing单边碰撞系统为研究对象,对系统中的混沌鞍进行了细致的分析.研究表明,系统的混沌鞍同样存在合并激变,合并激变是由连接两个混沌鞍的周期鞍的稳定流形与不稳定流形相切所诱发,相切使得边界上的混沌鞍与内部的混沌鞍发生碰撞而突然合并为一个较大的边界混沌鞍.混沌鞍的合并激变行为最终会诱导混沌吸引子的合并激变发生.A computational investigation of chaotic saddles in a Duffing vibro-impact system is presented.Chaoctic saddle crisis is investigated in a duffing vibro-impact system considered.This crisis is due to the tangency of the stable and unstable manifolds of period saddle connecting two chaotic saddles.The threshold of tangency induces the merging crisis of chaotic saddle,that is,as the system parameter crosses the critical value,a larger boundary chaotic saddle appears due to the merging of two chaotic saddles located on the basin boundary and in the internal basin respectively.In fact,this chaotic saddle crisis is responsible for the merging crisis of chaotic attractors eventually.

关 键 词：Duffing碰撞系统 混沌鞍 周期鞍 稳定与不稳定流形 

分 类 号：O415.5[理学—理论物理]