Germes de difféomorphismes et de champs de vecteurs en classe de différentiabilite finie

DOI10.5802/aif.910zbMath0488.58005OpenAlexW2317038339MaRDI QIDQ1166173

Robert Roussarie, Freddy Dumortier

Publication date: 1983

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1983__33_1_195_0

zbMATH Keywords

topological equivalencegerms of diffeomorphismsfinitely determined germscodimension 2 germs of vector fieldstopological determinacy

Mathematics Subject Classification ID

Qualitative theory for ordinary differential equations (34C99) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25) Dynamical systems and ergodic theory (37-XX)

Related Items

Smooth equivalence of germs of vector fields with a single zero eigenvalue or a pair of purely imaginary eigenvalues ⋮ Partially hyperbolic fixed points with constraints ⋮ Regular variation and rates of mixing for infinite measure preserving almost Anosov diffeomorphisms ⋮ Vector Fields in the Vicinity of a Circle of Critical Points

Cites Work

• Unnamed Item
• Germs of diffeomorphisms in the plane
• Singularities of vector fields on the plane
• Topological equivalence of normally hyperbolic dynamical systems
• Singularities of vector fields
• The stable, center-stable, center, center-unstable, unstable manifolds
• Partially hyperbolic fixed points
• Normal forms for certain singularities of vectorfields