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Parameter identification and synchronization of spatiotemporal chaos in uncertain complex network

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Abstract

Synchronization and parameter identification of a unidirectional star-network constructed by discrete spatiotemporal chaos systems with unknown parameters are studied. The synchronization principle of the network and design method of parameter recognition law are introduced. The function to be determined in the parameter recognition law and the range of adjusting parameter are obtained based on Lyapunov stability theory. Not only global synchronization of the network is realized, but also the unknown parameters in spatiotemporal chaos systems at the nodes of the network are identified. Discrete laser spatiotemporal chaos model is taken as each node of the network, and simulation results show the effectiveness of the synchronization principle and parameter recognition law.

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Authors and Affiliations

  1. College of Physics and Electronic Technology, Liaoning Normal University, Dalian, 116029, China

    Ling Lü & Le Meng

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  1. Ling Lü
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  2. Le Meng
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Correspondence to Ling Lü.

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Lü, L., Meng, L. Parameter identification and synchronization of spatiotemporal chaos in uncertain complex network. Nonlinear Dyn 66, 489–495 (2011). https://doi.org/10.1007/s11071-010-9927-8

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  • DOI: https://doi.org/10.1007/s11071-010-9927-8

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