CONSTRUCTION OF COMPLETELY INTEGRABLE SYSTEMS BY POISSON MAPPINGS-Reference-Cited by-同舟云学术

CONSTRUCTION OF COMPLETELY INTEGRABLE SYSTEMS BY POISSON MAPPINGS

Published:1999-09-28 Issue:30 Volume:14 Page:2109-2118
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

GRABOWSKI J.¹²,MARMO G.³,MICHOR P. W.⁴⁵

Affiliation:

1. Institute of Mathematics, University of Warsaw, ul. Banacha 2, PL 02-097 Warsaw, Poland

2. Mathematical Institute, Polish Academy of Sciences, ul. Śniadeckich 8, P.O. Box 137, PL 00-950 Warsaw, Poland

3. Dipart. di Scienze Fisiche, Universitá di Napoli, Mostra d'Oltremare, Pad. 19, I-80125 Napoli, Italy

4. Institut für Mathematik, Universität Wien, Strudlhofgasse 4, A-1090 Wien, Austria

5. Erwin Schrödinger International Institute of Mathematical Physics, Boltzmanngasse 9, A-1090 Wien, Austria

Abstract

Pulling back sets of functions in involution by Poisson mappings and adding Casimir functions during the process allows one to construct completely integrable systems. Some examples are investigated in detail.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732399002169

Reference8 articles.

1. Completely Integrable Systems — A Generalization

2. Poisson structures on double Lie groups

3. N-dimensional classical integrable systems from Hopf algebras

4. A systematic construction of completely integrable Hamiltonians from coalgebras

5. GENERALIZED n-POISSON BRACKETS ON A SYMPLECTIC MANIFOLD

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