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基于Lyapunov指数Duffing混沌检测系统状态的判定

刘道文 史先红

信阳师范学院学报(自然科学版)2011,Vol.24Issue(2):196-199,4.
信阳师范学院学报(自然科学版)2011,Vol.24Issue(2):196-199,4.DOI:10.3969/j.issn.1003-0972.2011.02.013

基于Lyapunov指数Duffing混沌检测系统状态的判定

The Judgment of the States of the Duffing Chaotic Detection System based on the Lyapunov Exponent

刘道文 1史先红1

作者信息

  • 1. 许昌学院教育技术与信息部,河南许昌461000
  • 折叠

摘要

Abstract

In order to solve the accuracy of the judgment of chaos detection system' s states and to cast off defaults of the intuitive phase judgment method, this paper adopts the Lyapunov exponent to quantitatively judge states of the Duffing chaos detection system.Based on the analysis method and the algorithm of the Lyapunov exponent, we carried out the system simulation and data analysis.The result certifies the feasibility of using Lyapunov exponent to judge the states of the Duffing chaotic detection system, which therefore can be used on the weak signal detection and ensures the reliability of the signal detection.

关键词

混沌/Duffing振子/Lyapunov指数/系统状态/相图变化

Key words

chaos/ Duffing oscillator/ Lyapunov exponent/ system states/ phase change

分类

信息技术与安全科学

引用本文复制引用

刘道文,史先红..基于Lyapunov指数Duffing混沌检测系统状态的判定[J].信阳师范学院学报(自然科学版),2011,24(2):196-199,4.

基金项目

河南省教育厅自然科学研究计划项目(2010A510011) (2010A510011)

信阳师范学院学报(自然科学版)

OA北大核心CSTPCD

1003-0972

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