Moser's implicit function theorem in the framework of analytic smoothing

DOI10.1007/BF01351894zbMath0297.58003MaRDI QIDQ1214199

Eduard Zehnder

Publication date: 1975

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182760

Mathematics Subject Classification ID

Implicit function theorems; global Newton methods on manifolds (58C15)

Related Items

Instability of high dimensional Hamiltonian systems: multiple resonances do not impede diffusion ⋮ On the Group of Real Analytic Diffeomorphisms of a Compact Real Analytic Manifold ⋮ On the Group of Real Analytic Diffeomorphisms of a Compact Real Analytic Manifold ⋮ A KAM theory for conformally symplectic systems: efficient algorithms and their validation ⋮ Computation of domains of analyticity for the dissipative standard map in the limit of small dissipation ⋮ Horseshoes for autonomous Hamiltonian systems using the Melnikov integral ⋮ Orbits of unbounded energy in quasi-periodic perturbations of geodesic flows. ⋮ Construction of invariant whiskered tori by a parameterization method. II: Quasi-periodic and almost periodic breathers in coupled map lattices

Cites Work

• The imbedding problem for Riemannian manifolds
• Implicit function theorems and isometric embeddings
• An abstract form of the nonlinear Cauchy-Kowalewski theorem
• A NEW TECHNIQUE FOR THE CONSTRUCTION OF SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS
• Generalized implicit function theorems with applications to some small divisor problems, I
• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
• On Nash's implicit functional theorem
• Un théorème de fonctions implicites sur certains espaces de Fréchet et quelques applications
• Unnamed Item
• Unnamed Item