Phys. Rev. Lett. 88, 254101 (2002) [4 pages]Critical Properties of the Synchronization Transition in Space-Time ChaosReceived 24 October 2001; published 7 June 2002 We study two coupled spatially extended dynamical systems which exhibit space-time chaos. The transition to the synchronized state is treated as a nonequilibrium phase transition, where the average synchronization error is the order parameter. The transition in one-dimensional systems is found to be generically in the universality class of the Kardar-Parisi-Zhang equation with a growth-limiting term (“bounded KPZ”). For systems with very strong nonlinearities in the local dynamics, however, the transition is found to be in the universality class of directed percolation. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.88.254101
DOI:
10.1103/PhysRevLett.88.254101
PACS:
05.45.-a, 05.40.Ca
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