标题： 偏梯度系统中直立脉冲的不稳定性及其在FitzHugh-Nagumo型系统中的应用 显示英文标题

标题： Instability of the Standing Pulse in Skew-Gradient Systems and Its Application to FitzHugh-Nagumo Type Systems

摘要： 本文中，我们利用Maslov指标得到关于斜梯度系统中驻波解的不稳定特征值个数的一个下界。以此为基础，我们建立了驻波的不稳定性判据。作为一个应用，我们将所得结果应用于 FitzHugh-Nagumo 型系统，其中激活子和抑制子反应项表现出固有的非线性结构。 显示英文摘要

摘要： In this paper, we use the Maslov index to obtain a lower bound on the number of unstable eigenvalues associated with standing pulse solutions in skew-gradient systems. Based on this, we establish an instability criterion for the standing pulse. As an application, the results are applied to FitzHugh-Nagumo type systems, in which the activator and inhibitor reaction terms exhibit inherent nonlinear structures.