Stability and instability in the Gray-Scott model: The case of equal diffusivities

被引：32
|
作者：
Hale, JK [1 ]
Peletier, LA
Troy, WC
机构：
[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA
[2] Leiden Univ, Inst Math, NL-2300 RA Leiden, Netherlands
[3] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA
来源：
APPLIED MATHEMATICS LETTERS | 1999年 / 12卷 / 04期
关键词：
homoclinic orbits; heteroclinic orbits; stability; reaction-diffusion equations; Gray-Scott model;
D O I：
10.1016/S0893-9659(99)00035-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that a family of explicit stationary homoclinic orbits of the Gray-Scott system of cubic autocatalysis is unstable, and that an explicit heteroclinic orbit of this system is asymptotically, and exponentially stable. (C) 1999 Elsevier Science Ltd. All rights reserved.
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页码：59 / 65
页数：7
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