Research On The Chaos In Hybrid Optically Bistable System

Optical bistable is a kind of non-linear optical phenomenon. It’s very useful in many areas,for example in the whole optical communication, optical information processing, laser powerdevice, optical switch, optical logic gate, optical memory, optical computer and so on. It isremarkable that hybrid optical bistable device is easily composed and can be used in performingthe chaos research. This paper studies the chaos character, chaos control and chaossynchronization of the two kinds of hybrid optical bistable system.Firstly, the basic theory is introduced about the two kinds of hybrid optical bistable system.Following the stable requirement of the non-linear system, the stable equations are established.The stabilities of the two systems are analyzed by diagrammatize mode in the low period stateand chaos state. The formula analyed by diagrammatize mode is afforded in multi-period state.The mechanism is analyzed of the system chaos. The effect of the other parameters on thesystem stability is studied. The parameter area of the system at period state or chaos state isgiven.Secondly, the chaos of the two hybrid optical bistable system is controlled by delayfeedback method. Following the theory of the delay feedback method and using the delayfeedback item on system parameter and system variable respectively, the chaos control scheme isfounded. The numerical simulations show that these two schemes can all control the systemchaos. The system can be controlled in every period with proper value of the parameter. On theother hand, the effect of using delay feedback item on system parameter is better than that ofusing delay feedback item on system variable.Thirdly, unidirectional driving method and driving-coupling method are afforded followingthe active-passive method. The chaos synchronization scheme is established using the twomethods in hybrid optical bistable system. It is founded that chaos control can be realized byunidirectional driving method. The numerical simulations show that unidirectional drivingmethod can control the chaos with proper coupling coefficient. The driven system’s periodicstate lies on the driving system’s periodic state. And what’s more, the chaos synchronization isrealized by adjusting the driving intensity and the coupling coefficient through these twomethods.Fourthly, chaos control can be realized between different kinds of hybrid optical bistablesystem by unidirectional driving method. The feasibility is analyzed that chaos synchronizationbetween different kinds of hybrid optical bistable system. It has enormous value in chaos securecommunication.