Synchronization in coupled map lattices as an interface depinning.

Physical review. E, Statistical, nonlinear, and soft matter physics

PubMedID: 14682858

Lipowski A, Droz M. Synchronization in coupled map lattices as an interface depinning. Phys Rev E Stat Nonlin Soft Matter Phys. 2003;68(5 Pt 2):056119.
We study a solid-on-solid (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 behavior 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.