Chaos Control And Synchronization In Electrical-optical Bistable Systems

In this paper, we choose the electro-optical bistable system model. We study chaosand spatiotemporal chaos control and synchronization, and at the same time we analysisof the spatiotemporal complex behavior of the coupled electro-optical bistable maplattice model. The text mainly includes four parts:1. We introduce the chaos theoryand optical bistability basic conception;2. We have achieved chaos control inelectro-optical bistable system by feedback method;3. We have realized chaoscontrol and synchronization in coupled electro-optical bistable map lattice model;4.Summary.In the first part, we describes the origin of chaos and chaos progress in the decades.The definition of chaos, chaos characteristics, chaos control and synchronizationmethods are discussed, at the same time, we have introduce the optical bistabilityphysical mechanism. In this paper, we choose the electro-optical bistable system as theobject of study.In the second part, to the electro-optical bistable system model, we use feedbackmethod come true the control of unstable periodic points and the the bifurcation point.Base on the relationships between Jacobi matrix and characteristic roots,we coulddetermine the system feedback factor. So we could achieve stability control point andbifurcation point of chaotic systems. Numerical simulation results show that thismethod can achieve control single-cycle point of the system, a two-cycle point and thefirst bifurcation point, second bifurcation point. It can be adjusted within a certainrange feedback factor. Beside,this mothed could achieve four cycles, eight cycle cyclestate stability control. The control method does not require any dynamic informationsystem and system dimensions.To coupled electro-optical bistable map lattice model, the third part describes thesix modes of the spatial and temporal behavior of the model. We understand thedifferent modes of motion state by observing its amplitude variation of space andtime-space behavior development. its spatial amplitude change in the temporal behaviorof the Development Plan, We use method of nonlinear feedback control and method ofconstant offset to achieve control of the lattice model of the coupled electro-optical bistable system. We use the method of split function make chaos synchronization andwhole error.The fourth part of this paper is a comprehensive summary.The results of the study will be to promote the development of the chaotic system,broaden the application of the electro-optical bistable system in secure communicationand quantum information.They provides the necessary theoretical basis for chaoscontrol.