Adaptive generalized hybrid function projective dislocated synchronization of new four-dimensional uncertain chaotic systems

Based on projective synchronization and function projective synchronization, a novel generalized hybrid function projective dislocated synchronization of new four-dimensional uncertain chaotic systems is investigated. According to the Lyapunov stability theorem, an adaptive hybrid controller for the synchronization of two different four-dimensional chaotic systems is designed, and some parameter update laws for estimating the unknown parameters of these systems are also gained. The synchronization between memristor chaotic oscillator system and hyperchaotic Lü system with linear scaling functions and periodic scaling functions are discussed to show the effectiveness of the proposed methods.