Rigorous estimates for the series expansions of Hamiltonian perturbation theory
- 1 October 1985
- journal article
- research article
- Published by Springer Nature in Celestial Mechanics and Dynamical Astronomy
- Vol. 37 (2), 95-112
- https://doi.org/10.1007/bf01230921
Abstract
No abstract availableKeywords
This publication has 13 references indexed in Scilit:
- Boltzmann's ultraviolet cutoff and Nekhoroshev's theorem on Arnold diffusionNature, 1984
- A proof of Kolmogorov’s theorem on invariant tori using canonical transformations defined by the Lie methodIl Nuovo Cimento B (1971-1996), 1984
- Perturbation Theory for Classical Hamiltonian SystemsPublished by Springer Nature ,1983
- Integrability of hamiltonian systems on cantor setsCommunications on Pure and Applied Mathematics, 1982
- Formal integrals for an autonomous Hamiltonian system near an equilibrium pointCelestial Mechanics and Dynamical Astronomy, 1978
- Methoden der analytischen Störungsrechnung und ihre AnwendungenPublished by Springer Nature ,1978
- AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMSRussian Mathematical Surveys, 1977
- On a perturbation theory using Lie transformsCelestial Mechanics and Dynamical Astronomy, 1970
- Canonical transformations depending on a small parameterCelestial Mechanics and Dynamical Astronomy, 1969
- PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIANRussian Mathematical Surveys, 1963