中国物理B ›› 2011, Vol. 20 ›› Issue (1): 10510-010510.doi: 10.1088/1674-1056/20/1/010510

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Synchronization of spatiotemporal chaos in a class of complex dynamical networks

张庆灵1, 吕翎2   

  1. (1)Institute of System Science, Northeastern University, Shenyang 110004, China; (2)Institute of System Science, Northeastern University, Shenyang 110004, China;College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China
  • 收稿日期:2010-06-09 修回日期:2010-07-23 出版日期:2011-01-15 发布日期:2011-01-15
  • 基金资助:
    Project Supported by the National Natural Science Foundation of China (Grant No. 60974004).

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)†   

  1. a Institute of System Science, Northeastern University, Shenyang 110004, China; b College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China
  • Received:2010-06-09 Revised:2010-07-23 Online:2011-01-15 Published:2011-01-15
  • Supported by:
    Project Supported by the National Natural Science Foundation of China (Grant No. 60974004).

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摘要： 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.

关键词: complex network, spatiotemporal chaos, parameter identification, synchronization

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.

Key words: complex network, spatiotemporal chaos, parameter identification, synchronization

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.-a (Nonlinear dynamics and chaos) 05.45.Pq (Numerical simulations of chaotic systems)