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Synchronization of Coupled Systems with Spatiotemporal Chaos

P. Grassberger
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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.

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P. Grassberger. 1998-08-18. Synchronization of Coupled Systems with Spatiotemporal Chaos. https://doi.org/10.1103/physreve.59.r2520

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