Wiggly canards: growth of traveling wave trains through a family of fast-subsystem foci

DOI10.3934/dcdss.2022036zbMath1495.34082OpenAlexW4214857547MaRDI QIDQ2676229

Paul Carter, Alan R. Champneys

Publication date: 27 September 2022

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2022036

zbMATH Keywords

periodic orbitstraveling wavesgeometric singular perturbation theorycanardsFitzhugh-Nagumo system

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Traveling wave solutions (35C07) Canard solutions to ordinary differential equations (34E17)

Uses Software

• AUTO
• AUTO-07P
• GitHub

Cites Work

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