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Phys. Rev. E 59, R2520–R2522 (1999)

Synchronization of coupled systems with spatiotemporal chaos

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Peter Grassberger
HLRZ c/o Forschungszentrum Jülich, D-52425 Jülich, Germany

Received 20 August 1998; published in the issue dated March 1999

We argue that the synchronization transition of stochastically coupled cellular automata, discovered recently by Morelli et al. [Phys. Rev. E 58, 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.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.59.R2520
DOI:
10.1103/PhysRevE.59.R2520
PACS:
05.45.-a, 05.70.Jk, 61.25.Hq