Synchronization of fractional-order and integer-order chaotic (hyper-chaotic) systems with different dimensions

Abstract

By constructing two scaling matrices, i.e., a function matrix Λ (t) and a constant matrix W which is not equal to the identity matrix, a kind of W− Λ (t) synchronization between fractional-order and integer-order chaotic (hyper-chaotic) systems with different dimensions is investigated in this paper. Based on the fractional-order Lyapunov direct method, a controller is designed to drive the synchronization error convergence to zero asymptotically. Finally, four numerical examples are presented to illustrate the effectiveness of the proposed method.