Newton-Leipnik系统混沌控制  

Chaos controlling in Newton-Leipnik system

作　　者：李贤丽[1] 秦显荣[1] 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

出　　处：《大庆石油学院学报》2011年第3期99-103,121-122,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：分析非线性Newton-Leipnik系统的动力学性质,得出系统存在5个不稳定平衡态,导致系统形成复杂的双吸引子结构;通过数值计算得到系统随参数变化的倍周期分岔图,对其混沌态采用周期激励和线性反馈2种无反馈控制方法进行控制,当控制参数选择适当的范围时,将混沌运动控制为规则的周期运动;比较不同初始条件的上、下吸引子的控制结果,虽然存在差异,但对控制结果影响不大.The dynamics properties of the nonlinear Newton-Leipnik system is analyzed.There are five unstable equilibrium points in the system that cause the two strange attractors.Through numerical calculation,we obtained the period-doubling bifurcation with changing parameters.Two kinds of methods for non-feedback control,parameters perturbation and periodic excitation,are used to control chaos.With the two methods,we realized the conversion of the chaotic motion to regular(periodic) motion for some ranges of valves of choosing parameters.We compared the controlling results with the upper and lower attractor produced by different initial conditions.There are differences,the controlling results are not affected.

关 键 词：混沌控制 Newton—Leipnik系统 周期激励 周期扰动 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]