Chaotic synchronization induced by asymmetry in coupled maps on random networks

Abstract

The synchronization phenomenon occurring in asymmetrically coupled chaotic maps on a random network is studied. The asymmetry degree of network is characterized by the fraction of directed links. It is found that asymmetry induces chaotic synchronization in the system. In addition, the system undergoes a transition from an asynchronous phase to a synchronous one at some critical values of its parameters. The critical boundary separating the synchronous from the asynchronous regime is calculated on the parameter space of the system, given by the coupling strength and the asymmetry degree of the network. The phase transition between the two regimes is of second order, and the critical exponent depends of the asymmetry degree