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Chaos in the Fractional Order Logistic Delay System

Dong-Ping Wang Jue-Bang Yu

中国电子科技2008,Vol.6Issue(3):289-293,5.
中国电子科技2008,Vol.6Issue(3):289-293,5.

Chaos in the Fractional Order Logistic Delay System

Chaos in the Fractional Order Logistic Delay System

Dong-Ping Wang 1Jue-Bang Yu1

作者信息

  • 1. School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, 610054, China
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摘要

Abstract

In this paper, we study the chaotic behaviors in a fractional order logistic delay system. We find that chaos exists in the fractional order logistic delay system with an order being less than 1. In addition, we numerically simulate the continuances of the chaotic behaviors in the logistic delay system with orders from 0.1 to 0.9. The lowest order we find to have chaos in this system is 0.1. Then we further investigate two methods in controlling the fractional order chaotic logistic delay system based on feedback. Finally, we investigate a lag synchronization scheme in this system. Numerical simulations show the effectiveness and feasibility of our approach.

关键词

Chaos/feedback control/fractionalorder/lag synchronization/logistic delay system

Key words

Chaos/feedback control/fractionalorder/lag synchronization/logistic delay system

分类

信息技术与安全科学

引用本文复制引用

Dong-Ping Wang,Jue-Bang Yu..Chaos in the Fractional Order Logistic Delay System[J].中国电子科技,2008,6(3):289-293,5.

中国电子科技

1674-862X

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