Multi-layer canard cycles and translated power functions

DOI10.1016/j.jde.2007.08.013zbMath1355.34055OpenAlexW2000414124MaRDI QIDQ2480289

Robert Roussarie, Freddy Dumortier

Publication date: 31 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.jde.2007.08.013

zbMATH Keywords

bifurcationLiénard equationslow-fast systemcanard cycle

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Singular perturbations for ordinary differential equations (34E15) Relaxation oscillations for ordinary differential equations (34C26)

Related Items

Side-comparison for transition maps in multi-layer canard problems ⋮ Canard cycles of finite codimension with two breaking parameters ⋮ Singular perturbations of generalized Holling type III predator-prey models with two canard points ⋮ Slow divergence integral and balanced canard solutions ⋮ Cyclicity of common slow-fast cycles ⋮ Canard Cycles with Three Breaking Mechanisms

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