A simple method to simultaneously achieve synchronization and anti-synchronization in chaotic systems

doi:10.1088/1674-1056/19/1/010508

Abstract In this paper, a novel adaptive control approach is presented to simultaneously achieve synchronization and anti-synchronization in partially linear chaotic systems. Through appropriately separating state vectors of such systems, synchronization and anti-synchronization could be simultaneously realized in different subspaces, which may be strictly proven theoretically. Simulation results for a Lorenz chaotic system and a new hyper-chaotic system are provided to illustrate the effectiveness of the proposed method. Finally, a new secure communication scheme based on such a synchronization phenomenon of the hyper-chaotic system is demonstrated. Numerical results show success in transmitting a periodic signal with high security.

Keywords: synchronization and anti-synchronization adaptive control secure communication

Received: 29 April 2009
Revised: 12 June 2009
Accepted manuscript online:

PACS:	05.45.Xt	(Synchronization; coupled oscillators)
	05.45.Gg	(Control of chaos, applications of chaos)
	05.45.Pq	(Numerical simulations of chaotic systems)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 60804021).

Cite this article:

Li Rui-Hong(李瑞红), Chen Wei-Sheng(陈为胜), and Li Shuang(李爽) A simple method to simultaneously achieve synchronization and anti-synchronization in chaotic systems 2010 Chin. Phys. B 19 010508

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A simple method to simultaneously achieve synchronization and anti-synchronization in chaotic systems

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