变形Chua混沌系统及其同步问题的研究

Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (3): 638-641.

变形Chua混沌系统及其同步问题的研究

邓洪敏¹, 李涛², 王琼华¹, 张洪润¹

1. 四川大学电子信息学院, 四川, 成都, 610065;
2. 四川大学计算机学院, 四川, 成都, 610065

收稿日期:2007-11-07 修回日期:2008-09-19 出版日期:2009-03-20 发布日期:2010-01-03
作者简介:邓洪敏(1969- ),女,工程师,博士,主要研究方向为非线性动力学和复杂网络.E-mail:denghongmin@yahoo.com.cn
基金资助:
国家自然科学基金(60502011);中国博士后基金(20060401021);国家“863”高技术发展计划基金(2007AA01Z301;2006AA01Z435)资助课题

Research on modified Chua chaotic system and its synchronization

DENG Hong-min¹, LI Tao², WANG Qiong-hua¹, ZHANG Hong-run¹

1. School of Electronics and Information Engineering, Sichuan Univ., Chengdu 610065, China;
2. Computer Science Dept., Sichuan Univ., Chengdu 610065, China

Received:2007-11-07 Revised:2008-09-19 Online:2009-03-20 Published:2010-01-03

摘要/Abstract

摘要： 混沌系统及其同步是混沌保密通信中的关键问题。提出了一种基于双曲正切非线性函数的变形Chua电路,分析了参数在不同取值时系统的吸引子特性,讨论了该系统的功率谱密度特性、分岔特性和旁加莱映射,并通过线性状态反馈实现了两个变形Chua系统的同步。不仅如此,还通过调整非线性函数,将该系统进一步拓展,产生了更复杂的多涡卷混沌吸引子,以更利于实际应用。仿真结果表明了本方法的有效性。

Abstract: Chaos and its synchronization are key to chaotic secure communication.A new modified Chua system based on a hyperbolic tangent nonlinear function is presented,also the attractor’s characteristics with different parameter values,the property of power spectrum density(PSD),bifurcation phenomenon and poincare map about this system are analyzed.Then synchronization of the two modified Chua’s circuits is achieved via linear states feedback method.Furthermore,the system is extended to generate more complex multi-scroll chaos via modification of the nonlinear function so that it is more efficient for applications.Simulation results show the effectiveness of our method.

中图分类号:

O415.5
TP273

邓洪敏, 李涛, 王琼华, 张洪润. 变形Chua混沌系统及其同步问题的研究[J]. Journal of Systems Engineering and Electronics, 2009, 31(3): 638-641.

DENG Hong-min, LI Tao, WANG Qiong-hua, ZHANG Hong-run. Research on modified Chua chaotic system and its synchronization[J]. Journal of Systems Engineering and Electronics, 2009, 31(3): 638-641.

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