Geometrical Model of Spiking and Bursting Neuron on a Mug-Shaped Branched Manifold

DOI10.1142/S021812742030044XzbMath1470.37101OpenAlexW3106605565MaRDI QIDQ5148871

Mohamed Gheouali, René Lozi, Tounsia Benzekri, Guan-Rong Chen

Publication date: 5 February 2021

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021812742030044x

zbMATH Keywords

chaosPoincaré mapspikehorseshoe attractorbursting oscillation

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Simulation of dynamical systems (37M05) Computational methods for bifurcation problems in dynamical systems (37M20) Flows on surfaces (37E35) Computational methods for invariant manifolds of dynamical systems (37M21)

Cites Work

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• ORIGIN OF CHAOS IN A TWO-DIMENSIONAL MAP MODELING SPIKING-BURSTING NEURAL ACTIVITY
• Complex Canard Explosion in a Fractional-Order FitzHugh–Nagumo Model
• METHODS OF THE QUALITATIVE THEORY FOR THE HINDMARSH–ROSE MODEL: A CASE STUDY – A TUTORIAL

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