The existence and stability of spike equilibria in the one-dimensional Gray-Scott model on a finite domain

摘要

Results for the existence, stability, and pulse-splitting behavior of spike patterns in the one-dimensional Gray-Scott model on a finite domain in the semi-strong spike interaction regime are summarized. Conditions on the parameters for the existence of competition instabilities, synchronous oscillatory instabilities, or pulse-splitting behavior of spike patterns are given. (c) 2005 Elsevier Ltd. All rights reserved.