Lorenz超混沌系统的周期扰动与激励控制  

Periodical perturbation and excitation controlling of hyperchaotic Lorenz system

作　　者：李贤丽[1] 张笑宇 王升[1] 张秀龙[1] 严晓波[1] 

机构地区：[1]东北石油大学电子科学学院,黑龙江大庆163318 [2]大庆油田昆仑集团有限公司,黑龙江大庆163453

出　　处：《大庆石油学院学报》2010年第4期105-109,共5页Journal of Daqing Petroleum Institute

基　　金：黑龙江省教育厅科学技术研究项目(11551023)

摘　　要：对非线性Lorenz超混沌系统进行数值计算,得到系统随参数变化的分岔图和动力学性质,系统只存在1个不稳定定点和复杂的超混沌运动;采用周期扰动和周期激励无反馈控制方法对系统的超混沌运动进行控制.结果表明:均可将系统的超混沌运动控制为规则的周期运动,实现对复杂Lorenz超混沌系统的控制,控制结果受系统自身的动力性质影响较大,控制后系统产生新的动力学行为.该方法扩展了周期扰动控制方法的适用范围,可为采用无反馈控制方法控制超混沌运动的研究提供参考.Through numerical calculation of hyperchaotic Lorenz system,we obtained the bifurcation diagram and dynamics behavior of the system by changing the parameters.According to the stability theory,there exist only one unstable fix point and complex hyperchaotic motion.Two kinds of methods for non-feedback control,parameters perturbation and periodic excitation,are used to control hyperchaos.With the two methods,we realized the conversion of the hyperchaotic motion to regular(periodic) motion for some ranges of valves of choosing parameters and controlling of complex hyperchaotic motion.Controlling results are influenced by dynamic Character of the system and new dynamic behavior is produced.The study extends the scope of period perturbation control method and provides reference for the non-feedback control methods to control chaotic motion of hyperchaotic motion.

关 键 词：LORENZ系统 超混沌系统 超混沌控制 无反馈 周期扰动 周期激励 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]