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Synchronization of spatiotemporal chaos in a class of complex dynamical networks |
| Zhang Qing-Ling(张庆灵)a) and Lü Ling(吕翎)a)b)† |
| a Institute of System Science, Northeastern University, Shenyang 110004, China; b College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China |
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Abstract This paper studies the synchronization of complex dynamical networks constructed by spatiotemporal chaotic systems with unknown parameters. The state variables in the systems with uncertain parameters are used to construct the parameter recognizers, and the unknown parameters are identified. Uncertain spatiotemporal chaotic systems are taken as the nodes of complex dynamical networks, connection among the nodes of all the spatiotemporal chaotic systems is of nonlinear coupling. The structure of the coupling functions between the connected nodes and the control gain are obtained based on Lyapunov stability theory. It is seen that stable chaos synchronization exists in the whole network when the control gain is in a certain range. The Gray–Scott models which have spatiotemporal chaotic behaviour are taken as examples for simulation and the results show that the method is very effective.
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Received: 09 June 2010
Revised: 23 July 2010
Accepted manuscript online:
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PACS:
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05.45.Xt
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(Synchronization; coupled oscillators)
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05.45.-a
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(Nonlinear dynamics and chaos)
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05.45.Pq
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(Numerical simulations of chaotic systems)
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| Fund: Project Supported by the National Natural Science Foundation of China (Grant No. 60974004). |
Cite this article:
Zhang Qing-Ling(张庆灵) and Lü Ling(吕翎) Synchronization of spatiotemporal chaos in a class of complex dynamical networks 2011 Chin. Phys. B 20 010510
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