Convergence of differentiable functions on closed sets and remarks on the proofs of the ``converse approximation lemmas

DOI10.3934/dcdss.2010.3.623zbMath1223.26027OpenAlexW2317612169MaRDI QIDQ620005

Rafael de la Llave, Xue-Mei Li

Publication date: 19 January 2011

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2010.3.623

zbMATH Keywords

KAM theorydecreasing domainsWhitney differentiability

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Continuity and differentiation questions (26B05) Differentiable maps on manifolds (58C25)

Related Items (5)

On the persistence of quasi-periodic invariant tori for double Hopf bifurcation of vector fields ⋮ Domains of analyticity and Lindstedt expansions of KAM tori in some dissipative perturbations of Hamiltonian systems ⋮ Gevrey regularity of invariant curves of analytic reversible mappings ⋮ Gevrey smoothness of families of invariant curves for analytic area preserving mappings ⋮ Parameterization Method for State-Dependent Delay Perturbation of an Ordinary Differential Equation

This page was built for publication: Convergence of differentiable functions on closed sets and remarks on the proofs of the ``converse approximation lemmas