混沌轨道控制  

Chaotic Trajectory Controlling

作　　者：丁丹平[1] 田立新[1] 

机构地区：[1]江苏理工大学理学院,江苏镇江212013

出　　处：《江苏理工大学学报（自然科学版）》2000年第4期82-86,共5页Journal of Jiangsu University of Science and Technology(Natural Science)

基　　金：国家自然科学基金!资助项目 (196 0 10 2 0 )

摘　　要：混沌控制的研究和发展 ,使非线性科学理论在实际应用中出现了巨大的突破 无论是根据实际问题的需要抑制混沌 ,还是利用混沌的特性获得新的动力学途径 ,混沌使动力学的应用呈现出多样性 由于混沌轨道的遍历性 ,使从相空间中某一点出发的某一轨道经过无穷长时间到达另一轨道 .利用混沌控制的思想 ,笔者提出了混沌轨道控制的概念 。The development and study of controlling chaos has brought about the great progress of the application of the theory of nonlinear science.Either in the case of suppressing chaos according to the requirement of real questions ,or in the case of obtaining new dynamical behavior using the peculiarity of chaos ,chaos reveals the multiforms of application of dynamics .Because of the ergodic property of chaotic trajectory, one orbit starting from a point in phase space can arrive at another orbit after infinite time. Based on the thoughts of controlling chaos the concept and method of chaotic trajectory controlling are presented,and the condition of chaotic trajectory for Hamilton systems is invesligated by Melnikov function.

关 键 词：混沌轨道控制 混沌控制 OGy方法 非线性科学 

分 类 号：O415.5[理学—理论物理]