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arxiv: cond-mat/9808199 · v1 · submitted 1998-08-18 · ❄️ cond-mat.stat-mech

Synchronization of Coupled Systems with Spatiotemporal Chaos

classification ❄️ cond-mat.stat-mech
keywords coupledsynchronizationchaosclaimclassgenericallyspatiotemporalsystems
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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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