A Proof of Nekhoroshev's Theorem for the Stability Times in Nearly Integrable Hamiltonian Systems
Abstract
In the present paper we give a proof of Nekhoroshev's theorem, which is concerned with an exponential estimate for the stability times in nearly integrable Hamiltonian systems. At variance with the already published proof, which refers to the case of an unperturbed Hamiltonian having the generic property of steepness, we consider here the particular case of a convex unperturbed Hamiltonian. The corresponding simplification in the proof might be convenient for an introduction to the subject.
- Publication:
-
Celestial Mechanics
- Pub Date:
- September 1985
- DOI:
- 10.1007/BF01230338
- Bibcode:
- 1985CeMec..37....1B
- Keywords:
-
- Exponential Functions;
- Hamiltonian Functions;
- Perturbation Theory;
- Proving;
- Systems Stability;
- Theorems;
- Canonical Forms;
- Convexity;
- Iteration;
- Resonance;
- Physics (General)