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Adaptive bidirectionally coupled synchronization of chaotic systems with unknown parameters

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Abstract

This paper investigates the chaos synchronization of two bidirectionally coupled chaotic systems. In comparison with previous methods (identical bidirectionally coupled synchronization), the present control scheme is different bidirectionally coupled synchronization, which includes different complete bidirectionally coupled synchronization and different partial bidirectionally coupled synchronization. Based on the Lasalle invariance principle, adaptive schemes are designed to make two different bidirectionally coupled chaotic systems asymptotically synchronized, and unknown parameters are identified simultaneously in the process of synchronization. Theoretical analysis and numerical simulations are shown to verify the results.

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Authors and Affiliations

  1. Department of Mathematics, Yunyang Teachers’ College, Hubei Shiyan, 442000, P.R. China

    Yuhua Xu

  2. College of Information Science and Technology, Donghua University, Shanghai, 201620, P.R. China

    Yuhua Xu, Wuneng Zhou & Jian’an Fang

  3. School of Mathematics and Information, Yangtze University, Hubei Jingzhou, 434023, P.R. China

    Wen Sun

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  1. Yuhua Xu
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  2. Wuneng Zhou
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  3. Jian’an Fang
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  4. Wen Sun
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Correspondence to Yuhua Xu.

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Xu, Y., Zhou, W., Fang, J. et al. Adaptive bidirectionally coupled synchronization of chaotic systems with unknown parameters. Nonlinear Dyn 66, 67–76 (2011). https://doi.org/10.1007/s11071-010-9911-3

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  • DOI: https://doi.org/10.1007/s11071-010-9911-3

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