Dynamical Analysis Of A Class Of Senmiconducter Lasers System

For the semiconductor lasers or coupled systems, when parameters and the initial conditions changed, the complex mechanism is investigated by applying the modern nonlinear analytical methods, and the chaotic control and chaotic synchronization are explored. The main research work of this article has five parts as follows:In the first section, the development history of the chaotic laser is sum up. The ratios equations of the semiconductor lasers. The content of research of this paper is given.The complex dynamics behaviors of the semiconductor lasers with optical injection are investigated in chapter 2. Based on the bifurcation theory, the stabilities of the equilibrium points are explored, the transition boundary is plotted and the evolution of the dynamics from the equilibrium point to chaos is investigated in detail. Finally, the plentiful dynamics behavior is investigated with the change of the feedback coefficient when initial system is in the state of equilibrium, circle-1 and chaotic attractor respectively.In Chapter 3, complete synchronization of the semiconductor lasers with optical injection is discussed. The synchronization scheme of two complete identical laser systems are put forward when parameters are known or unknown. Then the delay synchronization of different structures is investigated and the scheme of whole system about the output intensity which the outputs control needs, when the complete identical semiconductor lasers with optical injection are given different initial values. Finally, the delay synchronization of different laser systems and different chaos different with different dimensions is investigated and the results are verified by numerical simulation.Dynamics behaviors of the semiconductor laser with optical feedback which has linear gain and nonlinear gain in Chapter 4. To different feedback intensity, although Hopf bifurcation is the main reason which leads to unstable ECM solution, the behavior after Hopf bifurcation, especially their different way entering chaos, can rupture by 3-D torus, as well as leads to double period bifurcation. In some condition, two stable ECM coexist with different frequency. Not only one of them can keep stable when the other ECM is unstable and go into chaos but also the two dynamics behaviors is linked by chaos crisis, and the size of chaos structure on phase space can change suddenly. Particularly, semiconductor lasers will present obvious fast-slow effect with the change of nonlinear gain coefficient.Complex dynamics behaviors of the laser system with coupling optical feedback which has linear or nonlinear gain in Chapter 5. Compared with single system, phenomenon of coupling system is more Complex, which mainly displays in the coexistence phenomenon of different periodic attra(?)tors. The evolution way of system is mainly shown as CLM solution enters limit ring by Hopf bifurcation, and then directly into quasi-period through periodic oscillation, finally, into chaos by unstable quasi-period. At the same time, we can observe the way through which different periods enter quasi-period oscillation.In Chapter 6, complete synchronization of the time delay semiconductor lasers with optical feedback is investigated and the scheme to completely synchronize for two coupling laser system is given. Then, the scheme about output of the whole system is controlled by certain value is investigated. Finally, diverse structure synchronization of different laser systems and chaos systems with different dimensions. Furthermore, all the theoretical results are verified by numerical simulation.In chapter 7, the summary and expectation are given.