Unfolding Singularly Perturbed Bogdanov Points

DOI10.1137/S0036141098334237zbMath0989.34035OpenAlexW2066275627MaRDI QIDQ2706214

Matthias Stiefenhofer

Publication date: 19 March 2001

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141098334237

zbMATH Keywords

periodic orbitssingular perturbationshomoclinic orbitsFitzHugh-Nagumo equationHopf pointssaddle-nodesBogdanov points

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Singular perturbations for ordinary differential equations (34E15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (3)

Bifurcations of invariant tori and subharmonic solutions of singularly perturbed system ⋮ Bifurcation and number of periodic solutions of some \(2n\)-dimensional systems and its application ⋮ Singular limit cycle bifurcations to closed orbits and invariant tori

Uses Software

• AUTO-86

This page was built for publication: Unfolding Singularly Perturbed Bogdanov Points