Linear generalized synchronization of chaotic systems with uncertain parameters

Abstract

A more general form of projective synchronization, so called lineargeneralized synchronization (LOS) is proposed, which includes thegeneralized projective synchronization (GPS) and the hybrid projectivesynchronization (HPS) as its special cases. Based on the adaptivetechnique and Lyapunov stability theory, a general method for achievingthe LOS between two chaotic or hyperchaotic systems with uncertainparameters in any scaling matrix is presented. Some numericalsimulations are provided to show the effectiveness and feasibility ofthe proposed synchronization method.