Chaotic Synchronization in Coupled Map Lattices with Periodic Boundary Conditions
Chaotic Synchronization in Coupled Map Lattices with Periodic Boundary Conditions
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DOI：
10.1137/s1111111101395410
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
Wen-Wei Lin;Yiqian Wang
中科院分区：
文献类型：
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作者：
Wen-Wei Lin;Yiqian Wang
本文研究了一类具有周期边界条件的耦合Logistic映射格。我们证明了对于任意的γ，在混沌区域（γ∞ <$3.57，4）中，在晶格尺寸n = 4的一维晶格中，同步发生.值得强调的是，尽管在许多连续时间系统中有严格的同步证明，但对于离散时间系统几乎没有严格的证明。
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.