Fronts in a continuous bistable system under periodically oscillating forcing
Department of Physics, Bar-Ilan University -
52 900 Ramat-Gan, Israel
2 Semiconductor Physics Institute - Gostauto 11, 2600 Vilnius, Lithuania
Accepted: 11 December 2000
The propagation of a stable front in a dissipative bistable system that is influenced by the periodically oscillating forcing is examined. The evolution of the front is described by the nonlinear PDE (partial differential equation) of the parabolic type with the considered rate function of N-type. The one-dimensional front propagation is examined within the adiabatic approximation, i.e., the oscillations of the disturbing forcing are assumed to be slow enough. The pulling effect of the fronts is found, i.e., it is shown that the mean velocity of the perturbed front is increased as compared to that of the unperturbed front. The explicit expressions which describe the characteristic parameters of the perturbed front are presented for the particular case of the cubic polynomial rate function.
PACS: 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems / 87.40.Ck – Pattern formation in vortices-diffusion systems / 02.30.Jr – Partial differential equations
© EDP Sciences, 2001