Published January 2011
| Version v1
Journal article
Improved exponential stability for near-integrable quasi-convex Hamiltonians
Creators
- 1. Laboratoire de Mathématiques, Université Paris-Sud, 91405 Orsay Cedex (France)
- 2. Institut de Mathématiques de Jussieu, Analyse algébrique, 4 place Jussieu, 75252 Paris Cedex (France)
Description
In this paper, we improve previous results on exponential stability for analytic and Gevrey perturbations of quasi-convex integrable Hamiltonian systems. In particular, this provides a sharper lower bound on the time of Arnold diffusion which we believe to be optimal
Availability note (English)
Available from http://dx.doi.org/10.1088/0951-7715/24/1/005Additional details
Identifiers
- DOI
- 10.1088/0951-7715/24/1/005;
- PII
- S0951-7715(11)57149-X;
Publishing Information
- Journal Title
- Nonlinearity (Print)
- Journal Volume
- 24
- Journal Issue
- 1
- Journal Page Range
- p. 97-112
- ISSN
- 0951-7715
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 45034546
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ANALYTICAL SOLUTION; DIFFUSION; DISTURBANCES; HAMILTONIANS; HAMILTON-JACOBI EQUATIONS; INTEGRAL CALCULUS; STABILITY
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS