Projective Synchronization and Parameter Identification of Improved Invariable-Lyapunov-Exponent-Spectrum Chaotic Systems

Abstract

With the important properties of invariable Lyapunov exponent spectrum for two parameters, existence of the global linear amplitude adjuster and the phase reversal parameter, the improved invariable-Lyapunov-exponent-spectrum chaotic system (improved ILES system) has potential applications in chaotic radar, secure communications and information processing. Based on the theory of passive control, an adaptive synchronization scheme of improved ILES systems is contrived firstly in this paper. With the scheme, projective synchronization with only one controller and parameter identification can be achieved simultaneously. Numerical simulations are provided to verify the effectiveness of the proposed scheme.