Published November 28, 2008 | Version v1
Journal article

A simple proof of the existence of adiabatic invariants for perturbed reversible problems

  • 1. INRIA Rennes and Ecole Normale Superieure de Cachan, Antenne de Bretagne, Avenue Robert Schumann, 35170 Bruz (France)

Description

In this paper, we give a simple proof of the existence of invariants for reversible perturbations of action-angle systems. The originality of this proof is that it does not rely on canonical transformations that bring the system gradually closer to a normal form, but rather on a formal development of the invariant itself

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8113/41/47/475204

Additional details

Identifiers

DOI
10.1088/1751-8113/41/47/475204;
PII
S1751-8113(08)86243-9;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
41
Journal Issue
47
Journal Page Range
[7 p.]
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40071490
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CANONICAL TRANSFORMATIONS; MATHEMATICAL LOGIC; PERTURBATION THEORY
Descriptors DEC
TRANSFORMATIONS