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一种新混沌系统的动力学分析及同步和反同步

李文芳 李全国

计算机应用研究Issue(9):2659-2663,2683,6.
计算机应用研究Issue(9):2659-2663,2683,6.DOI:10.3969/j.issn.1001-3695.2015.09.024

一种新混沌系统的动力学分析及同步和反同步

Dynamics analysis,synchronization and anti-synchronization of novel chaotic system

李文芳 1李全国1

作者信息

  • 1. 暨南大学 信息科学技术学院,广州510632
  • 折叠

摘要

Abstract

This paper investigated a novel three-dimensional autonomous chaotic system.Theoretical analysis and computer simulations show that the system has an abundant chaotic behavior.Furthermore,based on the active control theory and sliding mode control theory,it proposed an active sliding mode controller.The new chaotic systems realized anti-synchronization in the above controller.Next,based on Lyapunov stability theory and adaptive control method,it gave the expression of adaptive con-troller and the updating rule of parameters.Different dimensions of chaotic systems with unknown parameters achieve genera-lized synchronization in the add-dimension method.Eventually,it validated the above theoretic results in numerical simulations.

关键词

混沌系统/奇怪吸引子/主动滑模控制/反同步/不同维数/广义同步

Key words

chaotic system/strange attractor/active sliding mode control/anti-synchronization/different dimensions/generalized synchronization

分类

信息技术与安全科学

引用本文复制引用

李文芳,李全国..一种新混沌系统的动力学分析及同步和反同步[J].计算机应用研究,2015,(9):2659-2663,2683,6.

基金项目

广东省自然科学基金资助项目 ()

计算机应用研究

OA北大核心CSCDCSTPCD

1001-3695

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