Anomalous synchronization of spatially extended chaotic systems in the presence of asymmetric coupling

Abstract

Communicated by Werner Ebeling and Bernardo Spagnolo This paper describes the e ects of an asymmetric coupling in the synchronization of two spatially extended systems. Namely, we report the consequences induced by the presence of asymmetries in the coupling con guration of a pair of one-dimensional elds obeying Complex Ginzburg Landau equations. While synchronization always occurs for large enough coupling strengths, asymmetries have the e ect of enhancing synchronization and play a crucial role in setting the threshold for the appearance of the synchronized dynamics, as well as in selecting the statistical and dynamical properties of the synchronized motion. We discuss the process of synchronization in the presence of asymmetries by using some analytic expansions valid for a regime of soft spatial temporal chaos (i.e. phase turbulence regime). The in uence of phase singularities that break the validity of the analysis is also discussed.