The Conley index for fast-slow systems. I: One-dimensional slow variable

DOI10.1023/A:1021961819853zbMath0945.34029OpenAlexW3008691183MaRDI QIDQ1301775

Hiroshi Kokubu, Hiroe Oka, Konstantin Mischaikow, Tomáš Gedeon, James F. Reineck

Publication date: 19 September 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:1021961819853

zbMATH Keywords

Conley indexfast-slow systemsNagumo equationindex pairisolating neighborhood

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Singular perturbations of ordinary differential equations (34D15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (5)

Transition matrix theory ⋮ The conley index for fast-slow systems. II: multidimensional slow variable ⋮ Turning points and traveling waves in Fitzhugh--Nagumo type equations ⋮ Applying the Conley index to fast-slow systems with one slow variable and an attractor ⋮ Existence of Periodic Solutions of the FitzHugh--Nagumo Equations for an Explicit Range of the Small Parameter

This page was built for publication: The Conley index for fast-slow systems. I: One-dimensional slow variable