Stabilization of reaction-diffusion pulses by external forcing

Abstract

A pulse velocity equation under forcing is derived and the conditions for stationary waves (pinning conditions) are considered. It is found that there are two types of stationary pulses with symmetric and asymmetric parameter sets in the phase-amplitude diagram. The pulses with a symmetric set are always unstable, whereas the pulses with an asymmetric set may be stable. The stability criteria are presented.