Improved Full State Hybrid Projective Synchronization of Chaotic Systems with the Different Order

Chaos synchronization has received a signification attention in nonlinear science. Over the past two decades, many types of synchronization have been announced. This paper introduces another novel type of chaos synchronization-improved full state hybrid projective synchronization (IFSHPS), which includes FSHPS, complete synchronization, anti-synchronization and projective synchronization as its special item. The study first proposed the synchronization that response system also has the constant diagonal matrix. Based on the Lyapunov stability theorem and the adaptive control techniques, the IFSHPS scheme is given and illustrated with generalized Lorenz system and Lu system as example. With the effective scheme parameters identification and IFSHPS of chaotic system can be realized simultaneously. Numerical simulations are presented to demonstrate the effectiveness of the proposed synchronization scheme.