Function projective synchronization of Liu system and the new Lorenz system with known and unknown parameters

Abstract

This Letter focuses on the function projective synchronization (FPS) of hyperchaotic Liu system and the hyperchaotic New Lorenz system. Within the two systems, we achieved the FPS at the first place through a proper control scheme. Furthermore, by designing the parameter update law, the adaptive function projective synchronization (AFPS) is also achieved. Several numerical simulations are presented to show the feasibility and effectiveness of the method.