Inflection, canards and folded singularities in excitable systems: application to a 3D FitzHugh-Nagumo model

DOI10.1007/s00332-020-09650-9zbMath1470.34149OpenAlexW3084302645MaRDI QIDQ2022690

J. Uria Albizuri, Mathieu Desroches, Serafim Rodrigues, Martin Krupa

Publication date: 29 April 2021

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-020-09650-9

zbMATH Keywords

excitabilitythresholdcanard solutionsmixed-mode oscillationsslow-fast systemsinflection setfolded singularity

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Neural biology (92C20) Bifurcation theory for ordinary differential equations (34C23) Singular perturbations for ordinary differential equations (34E15) Canard solutions to ordinary differential equations (34E17)

Related Items (4)

Canard solutions in neural mass models: consequences on critical regimes ⋮ Experimental and numerical study of the synchronization of canards in identical coupled canard-generating Bonhoeffer-van der Pol oscillators ⋮ Dynamics of the Tyson-Hong-Thron-Novak circadian oscillator model ⋮ Analysis of the onset of a regime shift and detecting early warning signs of major population changes in a two-trophic three-species predator-prey model with long-term transients

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