A direct approach to homoclinic orbits in the fast dynamics of singularly perturbed systems

DOI10.1023/A:1022663512855zbMath0940.34033OpenAlexW71912541MaRDI QIDQ1961333

Matthias Stiefenhofer, Wolf-Jürgen Beyn

Publication date: 24 July 2000

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022663512855

zbMATH Keywords

singular perturbation problems\(\varepsilon\)-expansionsFitzHugh-Nagumo systemexponentially weighted spacesFenichel's invariant manifold theorysingularity perturbed Bogdanov point

Mathematics Subject Classification ID

Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05) Multiple scale methods for ordinary differential equations (34E13) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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