Function projective synchronization of two four-scroll hyperchaotic systems with unknown parameters

Abstract

Abstract:Function projective synchronization (FPS) of two novel hyperchaotic systems with four-scroll attractors which have been found up to the present is investigated. Adaptive control is employed in the situation that system parameters are unknown. Based on Lyapunov stability theory, an adaptive controller and a parameter update law are designed so that the two systems can be synchronized asymptotically by FPS. Numerical simulation is provided to show the effectiveness of the proposed adaptive controller and the parameter update law.PACS (2008)

Adaptive‐impulsive function projective synchronization for a class of time‐delay chaotic systems

“…Later, a new synchronization method called modified projective synchronization (MPS) was proposed in , where the chaotic systems can synchronize up to a constant scaling matrix. Recently, the concept of FPS is introduced by some researchers , where the drive and response systems could be synchronized up to a scaling function. More recently, Du et al discussed a new type of synchronization phenomenon, modified function projective synchronization (MFPS), where the drive and response systems could be synchronized up to a desired scaling function matrix.…”