Smooth normal linearization of vector fields near lines of singularities

DOI10.1007/s12346-010-0020-yzbMath1221.34104OpenAlexW2062275258MaRDI QIDQ611134

Freddy Dumortier, Robert Roussarie

Publication date: 14 December 2010

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-010-0020-y

zbMATH Keywords

vector fieldsmooth linearizationline of singularities

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20)

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Normal forms for manifolds of normally hyperbolic singularities and asymptotic properties of nearby transitions, Canard explosion near non-Liénard type slow-fast Hopf point, Well adapted normal linearization in singular perturbation problems, On the C ^8/3-regularisation of simultaneous binary collisions in the planar four-body problem

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