Chaotic synchronization of regular complex networks with fractional-order oscillators

Abstract

In this paper, the synchronization of N-coupled fractional-order chaotic systems with regular connection topology is presented. Synchronization of coupled Lorenz, Rössler and Chen fractional-order systems with unidirectional coupling is achieved based on a coupling matrix from complex systems theory. Synchronization of this systems is achieved considering a coupling without master node. The interactions in the complex networks are defined by coupling only one state of each fractional-order system. Numerical simulations are provided to verify the effectiveness of this method.