Chaos、Control And Synchronization In Cascaded Electrical-optical Bistable System

As we know, from the point of the significant application value，the optical bistablesystem has been studied extensively,especially in high speed optical communication、optical storage and optical logic element. Along with the development of the researchabout the chaos in optical bistable system, it becomes more and more distinct that thebistable optical system has a good prospect in application，which is in the area ofsecret communication and imformation encryption. Particularly, the chaos propertiesis of great importance in both of the applications. To improve the chaos properties ofthe bistable optical system， we used a cascaded electrical-optical bistable system andstudied the chaos、control and the synchronization of the system in this paper.Aboveall, we introduced the chaos theory in its development history、the theory ofthe chaoscontrol and the theory of the chaos synchronization.Then we studied theproperties in the chaotic dynamics of the electrical-optical bistable system. Throughthe comparison of the Lyapunov exponent and the bifurcation diagram, we found thatthe range that the system got the chaos status was enlarged. Meanwhile, it wasepimorphic, which was in favor of the practical application of the chaotic system.Further more, we used the feedback method to control the cascaded system. Throughthe Jacobi matrix，we calculated the range to realize the stable period control of thesystem. Thus, we achieved the stable control of the singly period and the doubleperiod with setting the feedback factor.In view that we realized the period controlthrough the bifurcation diagram, we can also accomplish the stable control of otherperiodic states with the change of the feedback factor. The sequence chart and thebifurcation diagram witnessed the effectiveness. Finally, we realized thesynchronization through drive-response technique.The λMCLEtold us where was thearea of q that can realize the synchronization. By means of numerical simulation, wecould see that no matter the chaos status of the drive system and the response systemwas the same or not, we can always make the output signal of the two responsesystems’ be synchronous. The sequence chart proved that the method was efficient inthis synchronization work.