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Synchronization in lattices of coupled non-autonomous Chen system via Lyapunov function

  • Applied Mathematics and Mechanics
  • Published:
Journal of Shanghai University (English Edition)

Abstract

This paper considers the synchronization of solutions for lattices of the coupled non-autonomous Chen system. By using the Lyapunov function, we show that when the second coupled operator is negative definite self-adjoint and its coefficient is suitable large, the Chen coupled lattice system is bounded dissipative (In particular, the solutions for lattices of the coupled autonomous Chen system converge to zero as t → ∞). The synchronization between any two solutions of the coupled Chen system can be slaved only by coefficients in the x- or y-component for the suitably large second coupled coefficient. Finally, some numerical simulations are given.

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Authors and Affiliations

  1. Department of Mathematics, College of Sciences, Shanghai University, Shanghai, 200444, P. R. China

    tao Chen  (陈 涛)

  2. Department of Applied Mathematics, Shanghai Normal University, Shanghai, 200234, P. R. China

    Sheng-fan Zhou  (周盛凡)

Authors
  1. tao Chen  (陈 涛)
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  2. Sheng-fan Zhou  (周盛凡)
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Corresponding author

Correspondence to Sheng-fan Zhou  (周盛凡).

Additional information

Project supported by the National Natural Science Foundation of China (Grant No.10771139)

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Chen, t., Zhou, Sf. Synchronization in lattices of coupled non-autonomous Chen system via Lyapunov function. J. Shanghai Univ.(Engl. Ed.) 13, 242–247 (2009). https://doi.org/10.1007/s11741-009-0308-2

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  • DOI: https://doi.org/10.1007/s11741-009-0308-2

Keywords

2000 Mathematics Subject Classification

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