摘要
基于李亚普诺夫稳定性理论,研究混沌系统的改进函数投影同步问题,该种同步可使两个混沌系统渐近同步于一个期望的比例函数矩阵。对于两个完全不同的混沌系统,给出改进函数投影同步控制器设计的一般方法,并分别以混沌Chen和混沌Newton-Leipnik系统及超混沌Chen和超混沌Henon-Heiles系统为例证实所提算法。理论分析及数值仿真结果表明所提算法的有效性。
Based on Lyapunov stability theory,the modified function projective synchronization was investigated,which made the states of two chaotic systems asymptotically synchronized up to a desired scaling function matrix.A general method for modified function projective synchronization of two different chaotic systems was proposed.The scheme was successfully applied to two groups examples,which were the MFPS between Chen system and Newton-Leipnik system,and hyper-chaotic Chen system and Henon-Heiles system.The corresponding numerical results verify the effectiveness of the proposed scheme.
出处
《系统仿真学报》
CAS
CSCD
北大核心
2011年第3期558-561,共4页
Journal of System Simulation
基金
国家自然科学基金青年基金项目(61004014)
黑龙江省教育厅科学技术研究项目(11551088)
哈尔滨理工大学青年科学基金研究项目(2009YF018)
关键词
混沌同步
投影同步
函数投影同步
改进函数投影同步
李亚普诺夫稳定性理论
chaos synchronization
projective synchronization
function projective synchronization
modified function projective synchronization
lyapunov stability theory
