Investigation Of The Control And Synchronization Of Phase-conjugate Wave Spatiotemporal Chaos And NH₃ Laser Network Chaos

In 20th century, one of the most important achievements is deep investigation of the chaos phenomena. Chaos and many natural science have a lot of intersects and penetrates. Optical chaos is an important branch of chaos.The whole thesis is divided into three parts: several kinds of the typical anti-control of laser chaotic systems, lasers spatiotemporal chaos and chaos synchronization of lasers network.In the first part, the development of the research in optical chaos at home and abroad is introduced firstly, optical chaos control and synchronization methods are summarized, and the achievements of optical spatiotemporal chaos and the complex network chaos are also presented. Secondly, the mathematical model of A Class, B Class and C Class of the lasers is analyzed. The anti-control of CO₂ laser and NH₃ laser are achieved to chaos state by additional free degrees, meanwhile, the chaos characteristics of the systems are investigated. In particular, the study of the phase-conjugate wave chaotic system is more detailed and in-depth, and the change curves of light intensity with the evolution graph of parameters and the Lyapunov index are given.In the second part, the control and synchronization of spatiotemporal chaos is investigated by the coupled map lattice model. Firstly, the spatiotemporal evolution characteristics of the phase-conjugate wave coupled map lattice model with the parameters modulation deepening are discussed. Secondly, phase-conjugation coupled map lattice spatiotemporal model is controlled by the nonlinear feedback and the output of CO₂ laser, so that the phase-conjugate wave output light intensity to achieve stability. The influence of the feedback control parameters on the control and synchronization speed of the phase conjugate wave chaotic systems is analyzed, that is, the greater the synchronization coupling parameter the shorter the time. Finally, multiple phase-conjugate wave spatiotemporal chaos systems are driven into the parallel synchronization by the CO₂ laser.In the third part, some basic concepts and method of the chaos synchronization of complex network are introduced. Meanwhile, chaos synchronization of the star-connected network constructing by NH₃ laser is investigated. The new method of synchronization with nonlinear coupling function is given. This method is suitable not only for low dimensional chaotic systems, but also for the hyper-chaotic system. The numerical simulations show that this method is simple and effective.