Adaptive hybrid synchronization of two different chaotic systems with unknown parameters

Abstract

Adaptive hybrid synchronization of two different chaotic systems with unknown parameters is investigated. Based on Lyapunov satiability theory, an adaptive hybrid synchronization controller and parameter update laws are designed analytically. Our scheme includes complete synchronization, anti-synchronization and projective synchronization, simultaneously. Numerical simulations on the hyper-chaotic Chen system and hyper-chaotic Lü system are presented to verify the effectiveness of the proposed scheme.