Graph Transform and Blow-up in Singular Perturbations

DOI10.1063/1.3241616zbMath1182.65109OpenAlexW1602468222MaRDI QIDQ5851574

Daniel Stoffer, Kaspar Nipp, Peter Szmolyan

Publication date: 22 January 2010

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f7fd19cf5e4da4cbafb028c4732e3c912aa10ba1

zbMATH Keywords

singular perturbationlimit cycleblow-upEuler methodvan der Pol equationinvariant manifoldgraph transform

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Invariant manifolds for ordinary differential equations (34C45) Singular perturbations for ordinary differential equations (34E15)

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