中国物理B ›› 2006, Vol. 15 ›› Issue (2): 301-305.doi: 10.1088/1009-1963/15/2/011

• GENERAL • 上一篇    下一篇

Chaotic dynamics of the fractional-order Ikeda delay system and its synchronization

卢俊国   

  1. Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China
  • 收稿日期:2005-02-06 修回日期:2005-08-11 出版日期:2006-02-20 发布日期:2006-02-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 60404005).

Chaotic dynamics of the fractional-order Ikeda delay system and its synchronization

Lu Jun-Guo (卢俊国)   

  1. Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China
  • Received:2005-02-06 Revised:2005-08-11 Online:2006-02-20 Published:2006-02-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 60404005).

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摘要： In this paper we numerically investigate the chaotic behaviours of the fractional-order Ikeda delay system. The results show that chaos exists in the fractional-order Ikeda delay system with order less than 1. The lowest order for chaos to be able to appear in this system is found to be 0.1. Master--slave synchronization of chaotic fractional-order Ikeda delay systems with linear coupling is also studied.

Abstract: In this paper we numerically investigate the chaotic behaviours of the fractional-order Ikeda delay system. The results show that chaos exists in the fractional-order Ikeda delay system with order less than 1. The lowest order for chaos to be able to appear in this system is found to be 0.1. Master--slave synchronization of chaotic fractional-order Ikeda delay systems with linear coupling is also studied.

Key words: chaos, Ikeda delay system, fractional-order system, fractional calculus

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt