KAM tori are very sticky: rigorous lower bounds on the time to move away from an invariant Lagrangian torus with linear flow
- 1 February 1994
- journal article
- Published by Elsevier in Physica D: Nonlinear Phenomena
- Vol. 71 (1-2) , 102-121
- https://doi.org/10.1016/0167-2789(94)90184-8
Abstract
No abstract availableKeywords
This publication has 16 references indexed in Scilit:
- Algebraic decay and phase-space metamorphoses in microwave ionization of hydrogen Rydberg atomsPhysical Review A, 1992
- Composition of Lie transforms with rigorous estimates and applications to Hamiltonian perturbation theoryZeitschrift für angewandte Mathematik und Physik, 1989
- Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problemJournal of Differential Equations, 1989
- Stability of motions near resonances in quasi-integrable Hamiltonian systemsJournal of Statistical Physics, 1986
- Rigorous estimates for the series expansions of Hamiltonian perturbation theoryCelestial Mechanics and Dynamical Astronomy, 1985
- Stochastic ionization of surface-state electrons: Classical theoryPhysical Review A, 1984
- A proof of Kolmogorov’s theorem on invariant tori using canonical transformations defined by the Lie methodIl Nuovo Cimento B (1971-1996), 1984
- A universal instability of many-dimensional oscillator systemsPhysics Reports, 1979
- AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMSRussian Mathematical Surveys, 1977
- A spectral analysis method of obtaining molecular spectra from classical trajectoriesThe Journal of Chemical Physics, 1977