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非线性耦合对线性耦合同步的调制研究

李凡 靳伍银 马军

物理学报2012,Vol.61Issue(24):57-64,8.
物理学报2012,Vol.61Issue(24):57-64,8.

非线性耦合对线性耦合同步的调制研究

Modulation of nonlinear coupling on the synchronization induced by linear coupling

李凡 1靳伍银 2马军1

作者信息

  • 1. 兰州理工大学物理系,兰州730050
  • 2. 兰州理工大学机电学院,兰州730050
  • 折叠

摘要

Abstract

Based on the Lyapunov stability theory, the Lyapunov function in the form of exponential type is constructed. The four-variable Chen hyperchaotic model is investigated as an example. The reliability of a linear coupling-inudced synchronization of hyperchaotic system is proofed analytically. Furthermore, the modulation effect of nonlinear coupling on the synchronization induced by linear cou- pling is investigated. A statictical function is defined to evaulate the power consumption of controller according to the dimensionaless dynamical equations, the appropriate parameter region for synchronization due to the joint action of linear and nonlinear coupling, and the extensive numerical results confirm the correctress of the theoretical predication.

关键词

超混沌/李亚普诺夫稳定性/耦合同步

Key words

hyperchaos/Lyapunov stability/coupling synchronization

分类

数理科学

引用本文复制引用

李凡,靳伍银,马军..非线性耦合对线性耦合同步的调制研究[J].物理学报,2012,61(24):57-64,8.

基金项目

国家自然科学基金(批准号:11072099,11265008)资助的课题. ()

物理学报

OA北大核心CSCDCSTPCDSCI

1000-3290

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