Generalized synchronization of two bidirectionally coupled discrete dynamical systems

Based on the modified system approach the generalized synchronization (GS) in two bidirectionally coupled discrete dynamical systems is classified into several types, and under some conditions, the existence, Lipschitz smoothness and Holder continuity of two kinds of GS therein are derived and theoretically proved. In addition, numerical simulations validate the present theory. (C) 2011 Elsevier B.V. All rights reserved.