Synchronization analysis of fractional order drive-response networks with in-commensurate orders

This paper is devoted to synchronization analysis of the fractional order drive-response complex network. Firstly, a fractional order drive-response networks model with in-commensurate orders is proposed. Moreover, on the basis of the stability theory of linear fractional-order differential equations and open-loop strategy, we derive a sufficient condition for the stability of the modified projective synchronization behavior in such drive-response complex network. Furthermore, we verify our theoretical results by numerical simulations of drive-response complex network with in-commensurate orders.