Integral behaviour for localized synchronization in nonidentical extended systems

Abstract

We report the synchronization of two nonidentical spatially extended fields, ruled by one-dimensional complex Ginzburg-Landau equations. The two fields are prepared in different dynamical regimes, and interact via an imperfect coupling consisting of a given number of local controllers Nc . The strength of the coupling is ruled by the parameter «. We show that, in the limit of three controllers per correlation length, the synchronization behavior is not affected if the product «Nc /N is kept constant, providing a sort of integral behavior for localized synchronization.