Chaotic Synchronization in Coupled Map Lattices with Periodic Boundary Conditions
نویسندگان
چکیده
In this paper, we consider a lattice of the coupled logistic map with periodic boundary conditions. We prove that synchronization occurs in the one-dimensional lattice with lattice size n = 4 for any γ in the chaotic regime [γ∞ ≈ 3.57, 4]. It is worthwhile to emphasize that, despite of the fact that there is a rigorous proof for synchronization in many systems with continuous time, almost nothing is rigorously proved for the systems with discrete time.
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عنوان ژورنال:
- SIAM J. Applied Dynamical Systems
دوره 1 شماره
صفحات -
تاریخ انتشار 2002