GLOBAL COUPLING OF AN INTERFACE PROBLEM IN AN ACTIVATOR-INHIBITOR SYSTEM

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: activator-inhibitor van der Pol equation global coupling free boundary problem Hopf bifurcation.
• 年，卷（期）: 2003,（2）
• 页码范围: 135-147
• 页数: 13页
• 分类号: O175.26,O175.29,O175.8.
• 语种: 英文

摘要

An activator-inhibitor reaction system with global coupling was introduced in [1]. The authors showed that global couplingsuppresses the breathing motion and enhances the propagation of the localized solution. The collision between two traveling waves for a sufficiently strong global coupling is discussed in [2]. If the width of layers is infinitesimally thin, the equation of motion for a pair of the interfaces is derived. We shall study the dynamics of interfaces in the free boundary problem with global coupling and with a strong global coupling.