Study Of Synchronization Between Two Uncertain Spatiotemporal Chaotic Systems

The concept and the significance of chaos synchronization together with methods of achieving chaos synchronization is stated in the article. Spatiotemporal chaos is briefly introduced as a hotspot and front topic in chaos. The characteristic and producing mechanism of spatiotemporal chaos is analyzed using Lyapunov exponent and power spectrum. Taking the coupled map lattices model and the partial differential equation which are two forms of spatiotemporal chaos system as an example, synchronization of two uncertain spatiotemporal chaos systems is studied. Chaos synchronization and parameter identification between two coupled map lattices with different structure and uncertain parameters is specifically discussed. Asynchronization controller and the parameter recognizers are designed based on the zero-asymptotic property of sliding variables in the single input and output discrete system. Simulation results in Matlab show that not only the target system and the response system with uncertain parameters can be globally synchronized, but also their uncertain parameters can be identified when adding the controller and the parameter recognizers. Furthermore, the zero-asymptotic property of sliding variable is extended from discrete to continuous systems, and it's applied in partial differential equations, which are more widely used in practice. Taking two uncertain Gray-Scott model as examples, a synchronization controller and parameter recognizers are designed. Simulation results show that the controller and the parameter identification are still feasible and effective.