Pattern Of Double-ring Erbium Fiber Laser And Network Synchronization Of Josephson Junctions

There are a large number of pattern and network phenomena in nature and daily life, pattern and optical chaotic network are the important part of nonlinear field, The applications of optical chaotic pattern and optical chaotic network are very extensive, so the research of the chaotic pattern and optical chaotic network has important significance. The main work of the thesis is:This thesis first discusses the pattern characteristics of double-ring erbium fiber laser, the method of coupled map lattice are adopted, but the boundary conditions are chosen for periodic change. We discuss the effects of coupling coefficient, lattice number and period number on the pattern. The results show: When the numbers of coupling coefficient and lattice are increased, the pattern will be changed greatly, and the changes are very abundant.Then, the thesis researches the synchronization of star network with nodes of Josephson junctions. Through separating the linear and nonlinear part of the equation, and using the method of nonlinear coupled. The star form couple network synchronization of ten Josephson junctions is achieved by choosing appropriate parameters. Numerical simulation results show that: the synchronization of state variables will be realized soon with the evolution of time, the error of system approaches to zero, the network synchronous time is 25 seconds.The research of the pattern characteristic of double-ring erbium fiber laser and the network synchronization of Josephson junctions will have a good reference value in the application of laser and the device fabrication of Josephson junctions.