Chaos synchronization in a hyperbolic dynamical system with long-range interactions
Chaotic Dynamics
2008-09-02 v1
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. As a result, the numerically determined synchronization threshold agree with the analytical results previously obtained [C. Anteneodo et al., Phys. Rev. E 68, 045202(R) (2003)] for this class of systems. 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.0809.0294,
title = {Chaos synchronization in a hyperbolic dynamical system with long-range interactions},
author = {Rodrigo Frehse Pereira and Sandro Ely de Souza Pinto and Ricardo Luiz Viana and Sergio Roberto Lopes},
journal= {arXiv preprint arXiv:0809.0294},
year = {2008}
}
Comments
4 pages, 1 figure, submitted to Physical Review E (rapid communication)