Browsing by Author "Wang, Yi-Qian"

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Chaotic synchronization in lattices of two-variable maps coupled with one variable
(2009-12-01)
Lin, Wen-Wei
;
Peng, Chen-Chang
;
Wang, Yi-Qian
;
應用數學系
;
Department of Applied Mathematics
In this paper, we study chaotic synchronization in 1D lattices of two-variable maps coupled with one variable. We give a rigourous proof for the occurrence of chaotic synchronization of spatially homogeneous solutions in such coupled map lattices (CMLs) of lattice size n = 4 with suitable coupling coefficients. For the case of lattice size n > 4, we demonstrate numerical results of synchronized chaotic behaviour of the CMLs. Moreover, we show numerically that the difference between two variables manifests chaotic behaviour. This behaviour combined with the special coupling method in the CMLs guarantees high security in applications using our new model.
PROOF OF SYNCHRONIZED CHAOTIC BEHAVIORS IN COUPLED MAP LATTICES
(2011-05-01)
Lin, Wen-Wei
;
Wang, Yi-Qian
;
應用數學系
;
Department of Applied Mathematics
In this paper, we consider chaotic synchronization in coupled map lattices (CMLs) with periodic boundary conditions. We give a rigorous proof of the occurrence of synchronization for 1D such CMLs with lattice size n = 5 for suitable parameters in the chaotic regime by Lyapunov method.