Jean Bragard
Universidad de Navarra
 

We report and discuss in details the relevant consequences induced by the presence of asymmetries in the coupling scheme on the synchronization process of a pair of one-dimensional complex fields obeying Complex Ginzburg Landau equations.  While synchronization occurs always 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 also analyze the process of synchronization in the presence of asymmetries when all stages of the dynamics are affected by the presence of phase singularities, showing that defects tend to anchor from one system to the other according to their topological charge, and that the asymmetry rules out the number of synchronized defects that are present in the dynamics. Possible relevant consequences of such asymmetry induced effects in biological and natural systems are discussed.