Generalized synchronization of arbitrary-dimensional chaotic systems

In this paper, the generalized synchronization of nonlinear chaotic systems is investigated. Based upon reversibility of the Jacobian matrix and matrix theory, we carry out a series of elementary column transformations to Jacobian matrix. And then, according to Lyapunov function theory, sufficient conditions for generalized synchronization between drive system and response system with different dimensions are obtained. Numerical simulations are also given to demonstrate the effectiveness of the proposed scheme. (C) 2014 Elsevier GmbH. All rights reserved.