Synchronization in lattices of coupled non-autonomous Chen system via Lyapunov function |
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| Authors: | tao Chen Sheng-fan Zhou |
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| Institution: | (1) Department of Mathematics, College of Sciences, Shanghai University, Shanghai, 200444, P. R. China;(2) Department of Applied Mathematics, Shanghai Normal University, Shanghai, 200234, P. R. China |
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| 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.
Project supported by the National Natural Science Foundation of China (Grant No.10771139) |
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| Keywords: | Chen system synchronization lattice system bounded dissipative |
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