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.
Received: 06 February 2005
Revised: 11 August 2005
Accepted manuscript online:
PACS:
05.45.Xt
(Synchronization; coupled oscillators)
Fund: Project supported by the National Natural Science Foundation of China (Grant No 60404005).
Cite this article:
Lu Jun-Guo (卢俊国) Chaotic dynamics of the fractional-order Ikeda delay system and its synchronization 2006 Chinese Physics 15 301
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