Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-12-01T02:09:44.646Z Has data issue: false hasContentIssue false
  • English
  • Français

Quasi-periodicity of motions and complete integrability of Hamiltonian systems

Published online by Cambridge University Press:  01 December 1998

FRANCESCO FASSÒ
FRANCESCO FASSÒ
Affiliation:
Mathematics Department, UCSC, Santa Cruz, CA 95064, USA Permanent address: Università di Padova, Dipartimento di Matematica Pura e Applicata, Via G. Belzoni 7, 35131 Padova, Italy (e-mail: [email protected]).
Get access Rights & Permissions [Opens in a new window]

Abstract

Consider a Hamiltonian system with $d$ degrees of freedom whose motions are all linear on tori of some fixed dimension $n\led$ is such a system necessarily completely (or else non-commutatively) integrable? We show that the answer is affirmative under quite broad conditions, but not always, and we provide counterexamples

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 18 , Issue 6 , December 1998 , pp. 1349 - 1362
Copyright
1998 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)