Orbital normal forms for a class of three-dimensional systems with an application to Hopf-zero bifurcation analysis of Fitzhugh-Nagumo system

DOI10.1016/j.amc.2019.124893zbMath1433.34055OpenAlexW2989969142WikidataQ126768189 ScholiaQ126768189MaRDI QIDQ2287604

Estanislao Gamero, Antonio Algaba, Cristóbal García, Natalia Fuentes

Publication date: 21 January 2020

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2019.124893

zbMATH Keywords

normal formHopf-zero bifurcationFitzhugh-Nagumo systemsplitting tridimensional vector fields

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) Normal forms for dynamical systems (37G05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items

Computation of the normal form as well as the unfolding of the vector field with zero-zero-Hopf bifurcation at the origin, On the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier

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