On the numerical treatment of a small divisor problem

DOI10.1007/BF01408700zbMath0497.65047MaRDI QIDQ1170872

Dietrich Braess, Eduard Zehnder

Publication date: 1982

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132797

zbMATH Keywords

KAM theoremquasiperiodic solutionscoupling constantNewton-type iterationsmall divisor problemghost solutionsstability of frictionless mechanical systemsweakly coupled harmonic oscillators

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (4)

Construction of analytic KAM-surfaces and effective stability bounds ⋮ Analysis of resonances in the spin-orbit problem in celestial mechanics. I: The synchronous resonance ⋮ Accurate strategies for small divisor problems ⋮ KAM quasi-periodic solutions for the dissipative standard map

Cites Work

• Unnamed Item
• On a Newton-Moser type method
• Fast Fourier Methods in Computational Complex Analysis
• Stable and Random Motions in Dynamical Systems
• A NEW TECHNIQUE FOR THE CONSTRUCTION OF SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS
• Generalized implicit function theorems with applications to some small divisor problems, I
• Existence of a Solution to the Discrete Theodorsen Equation for Conformal Mappings
• PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS

This page was built for publication: On the numerical treatment of a small divisor problem