Adaptive modified function projective lag synchronization of hyperchaotic complex systems with fully uncertain parameters

Abstract

In this article, a novel synchronization scheme, modified function projective lag synchronization (MFPLS), between identical and nonidentical hyperchaotic complex systems with fully uncertain parameters, is proposed. In the proposed general method, the states of two hyperchaotic complex systems with unknown parameters are asymptotically synchronized up to a desired scaling function matrix with time delay, and all of the unknown parameters are identified. The adaptive controller and laws of parameters are designed to achieve MFPLS between the drive and response systems. Theoretical proof and numerical simulations demonstrate the effectiveness and feasibility of the proposed scheme.