Synchronization in coupled map lattices as an interface depinning

Abstract

We study an SOS model whose dynamics is inspired by recent studies of the synchronization transition in coupled map lattices (CML). The synchronization of CML is thus related with a depinning of interface from a binding wall. Critical behaviour of our SOS model depends on a specific form of binding (i.e., transition rates of the dynamics). For an exponentially decaying binding the depinning belongs to the directed percolation universality class. Other types of depinning, including the one with a line of critical points, are observed for a power-law binding.

4 pages, Phys.Rev.E (in press)

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Cited by in corpus (7)

• Synchronization universality classes and stability of smooth, coupled map lattices
• Spatiotemporal intermittency and scaling laws in the coupled sine circle map lattice
• Chaotic synchronizations of spatially extended systems as non-equilibrium phase transitions
• The dynamical origin of the universality classes of spatiotemporal intermittency
• Universal Critical Behavior of the Synchronization Transition in Delayed Chaotic Systems
• Nonequilibrium wetting
• Synchronization of spatio-temporal chaos as an absorbing phase transition: a study in 2+1 dimensions