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

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.

preprint2022arXivOpen access
B. AmbrosioM. A. Aziz-AlaouiArgha MondalArnab MondalSanjeev K. SharmaRanjit K. Upadhyay
nlin.PS
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Open access6 authors1 topic
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B. AmbrosioM. A. Aziz-AlaouiArgha MondalArnab MondalSanjeev K. SharmaRanjit K. Upadhyay

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