一个具有三势能井振子的对称破缺现象及混沌控制  

Symmetry-breaking Analysis and Control of Chaos in a Three-well Potential Oscillator

作　　者：张宇[1] 曹鸿钧[1] 

机构地区：[1]北京交通大学理学院,北京100044

出　　处：《科学技术与工程》2008年第3期740-744,共5页Science Technology and Engineering

基　　金：国家自然科学基金(10771012);北京交通大学校基金资助

摘　　要：研究一个具有三势能井的非对称振子,由Melnikov方法和数值模拟结果研究表明,由于非对称扰动的影响,振子的对称性被打破;通过添加一个时变的控制项可以使得发生混沌现象的区域减小,从而实现对系统混沌现象的控制和抑制。A three-well potential oscillator including a constant noise is investigated. Due to the effect of the constant noise, the symmetry of the oscillator is broken according to Melnikov method and numerical simulationns. The areas that the chaos occurred can be decreased through adding a time-varying control term, so the control or induce of chaos is feasible from the qualitative and quantitative points of view.

关 键 词：混沌 MELNIKOV方法 对称破缺 

分 类 号：O175.14[理学—数学] O19[理学—基础数学]