标题： 非平凡动力学在FizHugh-Rinzel模型和非均匀振荡兴奋反应扩散系统中 显示英文标题

标题： Non trivial dynamics in the FizHugh-Rinzel model and non-homogeneous oscillatory-excitable reaction-diffusions systems

摘要： 在本文中，我们讨论了三维FitzHugh-Rinzel（FHR）模型和一类非齐次FitzHugh-Nagumo（Nh-FHN）反应扩散系统的行为。Nh-FHN模型可用于在神经科学背景下生成相关的波传播现象。这局部地导致了复杂的动力学行为，如canards、混合模式振荡、Hopf分岔，其中一些可以在FHR模型中观察到。 显示英文摘要

摘要： In this article, we discuss the dynamics of the 3-dimensional FitzHugh-Rinzel (FHR) model and a class of non-homogeneous FitzHugh-Nagumo (Nh-FHN) Reaction-Diffusion systems. The Nh-FHN models can be used to generate relevant wave propagation phenomena in Neuroscience context. This gives raise locally to complex dynamics such as canards, Mixed Mode Oscillations, Hopf-Bifurcations some of which can be observed in the FHR model.