Synchronization of Coupled Systems with Spatiotemporal Chaos
Statistical Mechanics
2009-10-31 v1
Abstract
We argue that the synchronization transition of stochastically coupled cellular automata, discovered recently by L.G. Morelli {\it et al.} (Phys. Rev. {\bf 58 E}, R8 (1998)), is generically in the directed percolation universality class. In particular, this holds numerically for the specific example studied by these authors, in contrast to their claim. For real-valued systems with spatiotemporal chaos such as coupled map lattices, we claim that the synchronization transition is generically in the universality class of the Kardar-Parisi-Zhang equation with a nonlinear growth limiting term.
Keywords
Cite
@article{arxiv.cond-mat/9808199,
title = {Synchronization of Coupled Systems with Spatiotemporal Chaos},
author = {P. Grassberger},
journal= {arXiv preprint arXiv:cond-mat/9808199},
year = {2009}
}
Comments
4 pages, including 3 figures; submitted to Phys. Rev. E