The Lipschitzian core of some invariant manifold theorems

DOI10.1017/S0143385707000910zbMath1166.37008MaRDI QIDQ3623577

Marc Chaperon

Publication date: 21 April 2009

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

invariant manifoldsLipschitzian part of the theorysmooth dynamic systems

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Invariant manifold theory for dynamical systems (37D10)

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Cites Work

• Unnamed Item
• Stable products of spheres in the nonlinear coupling of oscillators or quasi-periodic motions
• On Irwin's proof of the pseudostable manifold theorem
• A new proof of the stable manifold theorem
• Local Contractions and a Theorem of Poincare
• On the Structure of Local Homeomorphisms of Euclidean n-Space, II
• A New Proof of the Pseudostable Manifold Theorem
• Invariant manifolds, conjugacies and blow-up
• Stable manifolds and the Perron–Irwin method