Function Projection Lag Synchronization Based on Different Discrete Chaotic Systems

In recent years, the synchronization problem of complex systems has received widespread attention, especially in fields such as secure communication and life sciences. This article proposes a function projection lag synchronization scheme based on the stability theory of discrete-time dynamical systems and Lyapunov stability theory. The correctness of the synchronization scheme theoretical analysis was verified through two-dimensional and three-dimensional discrete-time chaotic systems, respectively. And compared and analyzed with other synchronization schemes, the results showed that this synchronization scheme can accelerate the synchronization speed. In addition, we propose an image encryption transmission system based on a synchronization scheme, which has good security. This application achievement fully demonstrates the broad application prospects and important practical value of the function projection lag synchronization scheme in fields such as secure communication.