Adaptive projective synchronization of a novel fractional-order hyperchaotic system

摘要

This paper analyzed the Lyapunov exponent characteristics of a novel fractional order hyperchaotic system with the asymmetric structure, analyzed the dynamic characteristics of the system, and then studied the adaptive projective synchronization control method. Through analyze the fractional order stability theory, a powerful synchronization scheme and the adaptive law of the unknown parameters are studied for achieving the adaptive projective synchronization. This control method realized adaptive completely selfsynchronization of the system with the unknown parameters. Numerical simulation results are further evidence that the proposed control strategy realizes the adaptive projective synchronization.