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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 relevantwave propagation phenomena in Neuroscience context. This gives raise locally tocomplex dynamics such as canards, Mixed Mode Oscillations, Hopf-Bifurcationssome of which can be observed in the FHR model.

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