Synchronization time in a hyperbolic dynamical system with long-range interactions
Chaotic Dynamics
2010-11-25 v2
Abstract
We show that the threshold of complete synchronization in a lattice of coupled non-smooth chaotic maps is determined by linear stability along the directions transversal to the synchronization subspace. We examine carefully the sychronization time and show that a inadequate observation of the system evolution leads to wrong results. We present both careful numerical experiments and a rigorous mathematical explanation confirming this fact, allowing for a generalization involving hyperbolic coupled map lattices.
Cite
@article{arxiv.1004.3160,
title = {Synchronization time in a hyperbolic dynamical system with long-range interactions},
author = {Rodrigo Frehse Pereira and Sandro Ely de Souza Pinto and Sergio Roberto Lopes},
journal= {arXiv preprint arXiv:1004.3160},
year = {2010}
}
Comments
22 pages (preprint format), 4 figures - accepted for publication in Physica A (June 28, 2010)