Spike-adding canard explosion in a class of square-wave bursters

DOI10.1007/s00332-020-09631-yzbMath1468.34062OpenAlexW3025287481MaRDI QIDQ2022661

Paul Carter

Publication date: 29 April 2021

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-020-09631-y

zbMATH Keywords

geometric singular perturbation theorycanardsbursting oscillationssaddle-homoclinic bifurcationspike-adding

Mathematics Subject Classification ID

Neural biology (92C20) Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Singular perturbations for ordinary differential equations (34E15) Canard solutions to ordinary differential equations (34E17)

Related Items (3)

Wiggly canards: growth of traveling wave trains through a family of fast-subsystem foci ⋮ Canonical models for torus canards in elliptic bursters ⋮ A Stiction Oscillator under Slowly Varying Forcing: Uncovering Small Scale Phenomena using Blowup

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