Non-Trivial Dynamics in the FizHugh–Rinzel Model and Non-Homogeneous Oscillatory-Excitable Reaction-Diffusions Systems

نویسندگان

چکیده

This article focuses on the qualitative analysis of complex dynamics arising in a few mathematical models neuroscience context. We first discuss three-dimensional FitzHugh–Rinzel (FHR) model and then illustrate those class non-homogeneous FitzHugh–Nagumo (Nh-FHN) reaction-diffusion systems. FHR Nh-FHN can be used to generate relevant wave-propagation phenomena Such include canards, mixed-mode oscillations (MMOs), Hopf-bifurcations their spatially extended counterpart. Our highlights original methods characterize these how they emerge ordinary differential equations models.

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ژورنال

عنوان ژورنال: Biology

سال: 2023

ISSN: ['2079-7737']

DOI: https://doi.org/10.3390/biology12070918