The singular limit of a Hopf bifurcation

DOI10.3934/DCDS.2012.32.2805zbMATH Open1402.37060OpenAlexW2049395465WikidataQ114476443 ScholiaQ114476443MaRDI QIDQ432628

Hinke M. Osinga, John Guckenheimer

Publication date: 4 July 2012

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

Full work available at URL: https://doi.org/10.3934/dcds.2012.32.2805

zbMATH Keywords

Hopf bifurcationslow-fast systemtorus bifurcationLyapunov coefficient

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) Bifurcations of singular points in dynamical systems (37G10) Singular perturbations of ordinary differential equations (34D15) Multiple scale methods for ordinary differential equations (34E13)

Related Items (7)

Analysis of two- and three-dimensional fractional-order Hindmarsh-Rose type neuronal models ⋮ Stability of singular Hopf bifurcations ⋮ Effects of quasi-steady-state reduction on biophysical models with oscillations ⋮ Bifurcation at isolated singular points of the Hadamard derivative ⋮ Complex oscillations in the delayed Fitzhugh-Nagumo equation ⋮ Limit cycles bifurcating from a zero-Hopf singularity in arbitrary dimension ⋮ Shilnikov Homoclinic Bifurcation of Mixed-Mode Oscillations

Uses Software

• Title not available (Why is that?)

This page was built for publication: The singular limit of a Hopf bifurcation

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q432628)