Lag synchronization in uncertain autocatalytic reaction-diffusion chaotic systems

A lag synchronization controller is designed to realize synchronization between spatiotemporal chaos systems. The structure of the lag synchronization controller and the error equations of state variables are determined based on Lyapunov stability theory. Autocatalytic reaction-diffusion chaotic system is taken as an example to verify the effectiveness of the controller. The parameter identifier is further designed to provide effective identification of the parameters in the uncertain autocatalytic reaction-diffusion chaotic system. The method is proved to have better performance in anti-jamming by studying the synchronizing effect under bounded noise.