Front Dynamics with Delays in a Spatially Extended Bistable System: Computer Simulation

摘要

Front dynamics with delays in a spatially extended bistable system of thereaction-diffusion type is studied by the use of nonlinear partial differential equation(PDE) of the parabolic type. The response of the self-ordered front, joining two steadystates of the different stability in the system, to the multi-harmonic (step-like) force isexamined. The relaxation rate of the system, that characterizes the delayed response ofthe front to the alternating current (ac) drive, is found to be sensitive to the peculiarities(shape) of the rate function (nonlinearity) of the governing PDE. By using computersimulations of the drift motion of the ac driven bistable front (BF) we are able to showthat the characteristic relaxation time of the system decreases with the increasing outerslope parameters of the rate function and is not sensitive to the inner one