Synchronization of Coupled Systems with Spatiotemporal Chaos
arXiv:cond-mat/9808199 · doi:10.1103/PhysRevE.59.R2520
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.
4 pages, including 3 figures; submitted to Phys. Rev. E
References in corpus (4)
- Are Damage Spreading Transitions Generically in the Universality Class of Directed Percolation?
- Systems with Multiplicative Noise: Critical Behavior from KPZ Equation and Numerics
- Phase Structure of Systems with Multiplicative Noise
- Synchronization of Spatiotemporal Chaos: The regime of coupled Spatiotemporal Intermittency
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