Title: Study on anti-synchronisation between spatiotemporal chaos system and temporal chaos system

Authors: Ling Lu, Xiao-lan Xia, Yan Li, Chao Zhang

Addresses: College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, P.R. China. ' College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, P.R. China. ' College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, P.R. China. ' College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, P.R. China

Abstract: A controller is designed to realise anti-synchronisation between a spatiotemporal chaos system and a temporal chaos system. The structure of the controller is given based on Lyapunov stability theory. A Gray-Scott spatiotemporal chaos system and a Duffing system are taken as examples to verify the effectiveness of the proposed method. Simulation results show that the anti-synchronisation between the two systems is realised when adding the designed controller. The method can be applied to any spatiotemporal chaos system and temporal chaos system in general use.

Keywords: anti-synchronisation; controller design; Gray-Scott spatiotemporal chaos; Duffing spatiotemporal chaos; temporal chaos; Lyapunov stability theory; simulation.

DOI: 10.1504/IJMIC.2009.028875

International Journal of Modelling, Identification and Control, 2009 Vol.8 No.1, pp.56 - 60

Published online: 09 Oct 2009 *

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