Experimental And Simulative Study On Controlling And Synchronizing Chaotic And Spatio-temporal Chaotic Sytems

For the practical application, some methods of controlling and synchronizing low-dimension chaotic and spatio-temporal chaotic system have been studied, including controlling hyperchaos via an improved OGY method, enhanced time-delayed feedback method, some methods of controlling spatio-temporal chaos, generalized chaotic synchronization method, sequential synchronization of spatio-temporal chaos. As the main research method, circuits experiment have been integrated with theoretic analysis and numerical calculation, and we have obtained sufficient and correct results of the problems discussed in the paper. We have realized an improved OGY method with circuits simulation, it is proven that the scheme is feasible from viewpoint of experimental. Using circuits simulation and numerical calculation we have verified that the method of controlling chaos via combined time-delayed feedback signals is feasible. The way to construct coupled map lattice systems in electronic circuits has been proposed, and we have realized controlling spatio-temporal chaos in two kinds of simple coupled map lattice circuit systems with circuits simulation. We have constructed generalized chaotic synchronization systems via linear transformation and have realized the scheme in two-dimension discrete map, generalized Hénon map and three-dimension continuous chaotic system. In addition, we have taken into account the influence of weak noise, and the experimental results have demonstrated that the system had robustness. The scheme of sequential synchronization of spatio-temporal chaos has been realized with circuits simulation, experimental and numerical calculation results have proven that the scheme is both feasible and effective. At last, we have realized a group of second-order continuous time-delayed chaotic systems with infinite dimensions via circuits simulation, and have controlled the systems from chaotic to periodic state via simple method. The results we have achieved on controlling and synchronizing chaotic and spatio-temporal chaotic systems via circuits experiments (circuits simulation) will undoubtedly provide important experimental guide for the practical application of controlling and synchronizing chaotic and spatio-temporal chaotic system.