Modified linear-nonlinear decomposition method for chaotic synchronization

Abstract

This Letter proposes a general linear-nonlinear decomposition method for chaotic synchronization. The method expands the concept of chaotic synchronization based on the stability criterion of linear systems, proposed earlier. Retaining the basic idea of the standard linear-nonlinear decomposition method-the nonlinear part of a given chaotic system is used as a synchronization signal, hence the error system is always linear and allows precise stability analysis-the proposed method allows to design not only one, but a large number of coupling variants, thus offering the researcher the possibility to choose the best possible coupling variant for a given chaotic synchronization problem. © 2008 Elsevier B.V. All rights reserved.