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Critical Properties of the Synchronization Transition in Space-Time Chaos

  • 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.

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Author:Volker AhlersORCiDGND, Arkadij S. Pikovskij
Document Type:Article
Year of first Publication:2002
Year of Completion:2002
Release Date:2017/03/24
Source:Physical Review Letters. - 88 (2002), 254101
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Institution name at the time of publication:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik