Synchronization of complex networks of fractional order nonlinear systems

Abstract

In this work we obtain analytical results for two different kinds of synchronization. This is obtained by means of the analysis of the fractional non-linear error equation, therefore the couplings inside the complex network do not eliminate the non-linearities of the systems, contrary to what is usual in literature. As an application, we present the synchronization with different kinds of fractional differential systems. We use some numerical results to verify the effectiveness of the proposed method.