The Study Of Spatiotemporal Chaos In Coupled Acousto-Optical Bistable And Phase Conjugation Map Lattices Models

The dissertation mainly investigates the control and the synchronization of spatiotemporal chaos (STC) in acousto-optic bistable systems and phase conjugation resonators by using coupled map lattices (CML) models. The application in secure communication and the spatiotemporal complex behaviors of the models are helpfully discussed. The research work can be classified into three parts: evolution of the spatiotemporal dynamical behavior, control of STC, synchronization of STC and its application.In part one, the evolution of the spatiotemporal dynamical behavior is introduced, and the research development of chaos control and synchronization is summarized. The recent achievements of control and synchronization of STC are described on coupled logistic map lattices (CLML) models, coupled acousto-optic bistable map lattices (CAOBML) models and coupled phase conjugation waves map lattices (CPCWML) models.In part two, the control of STC is investigated by using CML models. The nonlinear feedback method of controlling STC is put forward. The controls of STC are realized by the nonlinear feedback method in CLML, CAOBML and CPCWML. The various stable control results of STC are obtained by varying the feedback strength. It is the best advantage that the method does not require a priori information of system dynamics, and the control can be achieved easily. After that, the STC can be suppressed in CAOBML model with the constant bias and the improved constants bias techniques. The different periodic states are achieved by choosing appropriate bias strength. These methods possess further advantages, since no updated information of the system dynamics is required, and the dimension of the system does not increase, and the system parameters are not changed and the control is easy implemented in experiment. Finally, three different feedback control techniques are proposed, and the STC in CAOBML model can be successfully controlled to the stable states.In part three, the synchronization of STC and its application are studied. Firstly, the method of nonlinear feedback synchronization of STC is first put forward. The minimum...