The properties of controllable soliton switching in Kerr-type optical lattices with different modulation are investigated theoretically and simulated numerically.The results show that the optical lattices can be avail...The properties of controllable soliton switching in Kerr-type optical lattices with different modulation are investigated theoretically and simulated numerically.The results show that the optical lattices can be available for all- optical soliton switching through utilization for length-scale competition effects.And through longitudinal exponential- asymptotic modulation for the linear refractive index,the properties of soliton switching in the optical lattices can be improved.The number of output channels of soliton switching can be controlled by the parameters such as incident angle,asymptotic rate of longitudinal modulation,guiding parameter and form factor.展开更多
In this paper, analytical and numerical studies are carried out on the full annular rub motions of a nonlinear Jeffcott rotor. Transition sets of the synchronous full annular rub are given with the help of averaging m...In this paper, analytical and numerical studies are carried out on the full annular rub motions of a nonlinear Jeffcott rotor. Transition sets of the synchronous full annular rub are given with the help of averaging method and constraint bifurcation theory to discuss the effects of system parameters on jump phenomena. Routh-Hurwitz criteria are employed to analyze the stability of synchronous full annular rub solution and determine the boundaries of static and Hopf bifurcations. Finally, the response and onset condition of reverse dry whip are investigated numerically, and at the same time, the influences of rotor parameters and rotation speed on the characteristics of the rotor response are investigated.展开更多
基金supported by National Natural Science Foundation of China under Grant No.10574058the Scientific Research Foundation of Ningbo under Grant No.2008A610001sponsored by K.C.Wong Magna Fund in Ningbo University
文摘The properties of controllable soliton switching in Kerr-type optical lattices with different modulation are investigated theoretically and simulated numerically.The results show that the optical lattices can be available for all- optical soliton switching through utilization for length-scale competition effects.And through longitudinal exponential- asymptotic modulation for the linear refractive index,the properties of soliton switching in the optical lattices can be improved.The number of output channels of soliton switching can be controlled by the parameters such as incident angle,asymptotic rate of longitudinal modulation,guiding parameter and form factor.
基金supported by the National Natural Science Foundation of China (Grant No. 10632040)
文摘In this paper, analytical and numerical studies are carried out on the full annular rub motions of a nonlinear Jeffcott rotor. Transition sets of the synchronous full annular rub are given with the help of averaging method and constraint bifurcation theory to discuss the effects of system parameters on jump phenomena. Routh-Hurwitz criteria are employed to analyze the stability of synchronous full annular rub solution and determine the boundaries of static and Hopf bifurcations. Finally, the response and onset condition of reverse dry whip are investigated numerically, and at the same time, the influences of rotor parameters and rotation speed on the characteristics of the rotor response are investigated.
