Anomalous synchronization of spatially extended chaotic systems in the presence of asymmetric coupling
Year: 2005
Authors: Boccaletti S., Mendoza C., Bragard J.
Autors Affiliation: Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy; Universidad de Navarra, Dept. of Physics and Applied Math., Pamplona, Spain
Abstract: This paper describes the effects 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 configuration of a pair of one-dimensional fields obeying Complex Ginzburg-Landau equations. While synchronization always occurs for large enough coupling strengths, asymmetries have the effect 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 influence of phase singularities that break the validity of the analysis is also discussed.
Journal/Review: FLUCTUATION AND NOISE LETTERS
Volume: 5 (2) Pages from: L251 to: L258
KeyWords: synchronization; extended systems; DOI: 10.1142/S0219477505002628Connecting to view paper tab on IsiWeb: Click here