Synchronization threshold in coupled logistic map lattices

PHYSICA D-NONLINEAR PHENOMENA

卷:223

Article

Anteneodo, C. ; Batista, A. M. ; Viana, R. L.

关键词: coupled map lattices;    synchronization;    intermittency;   

DOI  :  10.1016/j.physd.2006.10.001

来源: Elsevier

【 摘 要 】

We consider regular lattices of coupled chaotic maps whose local dynamics is ruled by the logistic map x negated right arrow 4x (1-x), a usual paradigm of chaotic systems. Through finite-time exponents, we scrutinize the lattice dynamics in the vicinity of the threshold of complete synchronization. We connect dynamical features such as relaxation to the coherent state and intermittency with the statistics of finite-time exponents, focusing on the implications of the particular statistics related to the logistic map. Although numerical examples are given for lattice couplings decaying with distance as a power law, our results are expected to be valid for a wider class of schemes coupling logistic maps. (c) 2006 Published by Elsevier B.V.

【 授权许可】

Free