Synchronization and directed percolation in coupled map lattices

Details Synchronization and directed percolation in coupled map lattices Synchronization and directed percolation in coupled map lattices

1998-07-20

arxiv.org/abs/cond-mat/9807279v4

Phys. REv. E 59, 409 (1999)

Physics

Condensed Matter

Statistical Mechanics

12 pages + 12 figures

Scientific paper

10.1103/PhysRevE.59.409

We study a synchronization mechanism, based on one-way coupling of all-or-nothing type, applied to coupled map lattices with several different local rules. By analyzing the metric and the topological distance between the two systems, we found two different regimes: a strong chaos phase in which the transition has a directed percolation character and a weak chaos phase in which the synchronization transition occurs abruptly. We are able to derive some analytical approximations for the location of the transition point and the critical properties of the system. We propose to use the characteristics of this transition as indicators of the spatial propagation of chaoticity.

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