Chaos in the Fractional Order Logistic Delay System

作     者：Dong-Ping Wang Jue-Bang Yu 

作者机构：School of Electronic Engineering University of Electronic Science and Technology of China Chengdu 610054 China 

出 版 物：《Journal of Electronic Science and Technology of China》 (中国电子科技（英文版）)

年 卷 期：2008年第6卷第3期

页      面：289-293页

学科分类：070207[理学-光学] 07[理学] 08[工学] 070201[理学-理论物理] 0803[工学-光学工程] 0702[理学-物理学] 

主　　题：Chaos feedback control fractional order lag synchronization logistic delay system 

摘      要：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.