A flow box theorem for 2d slow-fast vector fields and diffeomorphisms and the slow log-determinant integral

DOI10.1016/J.JDE.2022.06.008zbMath1502.34047OpenAlexW4283269994MaRDI QIDQ2152761

Freddy Dumortier

Publication date: 11 July 2022

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

Full work available at URL: https://doi.org/10.1016/j.jde.2022.06.008

zbMATH Keywords

planar vector fieldnormal forminvariant manifoldinvariant foliationplanar diffeomorphism

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) 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) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Invariant manifold theory for dynamical systems (37D10) Invariant manifolds for ordinary differential equations (34C45) Ordinary differential equations and systems on manifolds (34C40) Singular perturbations for ordinary differential equations (34E15)

Cites Work

• Unnamed Item
• Cyclicity of common slow-fast cycles
• Qualitative theory of planar differential systems
• Canard Cycles

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