Journal of Nonlinear Mathematical Physics

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Volume 8, Issue 1, February 2001, Pages 157 - 182

The Maupertuis Principle and Canonical Transformations of the Extended Phase Space

Authors
A.V. Tsiganov
Corresponding Author
A.V. Tsiganov
Received 25 April 2000, Revised 26 June 2000, Accepted 1 August 2000, Available Online 1 February 2001.
DOI
10.2991/jnmp.2001.8.1.12How to use a DOI?
Abstract

We discuss some special classes of canonical transformations of the extended phase space, which relate integrable systems with a common Lagrangian submanifold. Vrious parametric forms of trajectories are associated with different integrals of motion, Lax equations, separated variables and action-angles variables. In this review we will discuss namely these induced transformations instead of the various parametric form of the geometric objects.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
8 - 1
Pages
157 - 182
Publication Date
2001/02/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2001.8.1.12How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

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TY  - JOUR
AU  - A.V. Tsiganov
PY  - 2001
DA  - 2001/02/01
TI  - The Maupertuis Principle and Canonical Transformations of the Extended Phase Space
JO  - Journal of Nonlinear Mathematical Physics
SP  - 157
EP  - 182
VL  - 8
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2001.8.1.12
DO  - 10.2991/jnmp.2001.8.1.12
ID  - Tsiganov2001
ER  -