Spectral Properties and Synchronization in Coupled Map Lattices
Chaotic Dynamics
2009-11-07 v1 Disordered Systems and Neural Networks
Adaptation and Self-Organizing Systems
Abstract
Spectral properties of Coupled Map Lattices are described. Conditions for the stability of spatially homogeneous chaotic solutions are derived using linear stability analysis. Global stability analysis results are also presented. The analytical results are supplemented with numerical examples. The quadratic map is used for the site dynamics with different coupling schemes such as global coupling, nearest neighbor coupling, intermediate range coupling, random coupling, small world coupling and scale free coupling.
Cite
@article{arxiv.nlin/0110037,
title = {Spectral Properties and Synchronization in Coupled Map Lattices},
author = {J. Jost and M. P. Joy},
journal= {arXiv preprint arXiv:nlin/0110037},
year = {2009}
}
Comments
10 pages with 15 figures (Postscript), REVTEX format. To appear in PRE