Synchronization of Coupled Systems with Spatiotemporal Chaos
P. Grassberger
Abstract
We argue that the synchronization transition of stochastically coupled cellular automata, discovered recently by L.G. Morelli et al. (Phys. Rev. 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.
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