Synchronization universality classes and stability of smooth, coupled map lattices

Details Synchronization universality classes and stability of smooth, coupled map lattices Synchronization universality classes and stability of smooth, coupled map lattices

2005-07-08

arxiv.org/abs/cond-mat/0507205v3

Phys. Rev. E 73, 026202 (2006)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 7 figures

Scientific paper

10.1103/PhysRevE.73.026202

We study two problems related to spatially extended systems: the dynamical stability and the universality classes of the replica synchronization transition. We use a simple model of one dimensional coupled map lattices and show that chaotic behavior implies that the synchronization transition belongs to the multiplicative noise universality class, while stable chaos implies that the synchronization transition belongs to the directed percolation universality class.

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