Integrable Hamiltonian systems on Lie groups: Kowalewski type
type: Item
instance of: scholarly article
title: Integrable Hamiltonian systems on Lie groups: Kowalewski type
zbMATH Open document ID: 0953.37012
DOI: 10.2307/121090
published in: Annals of Mathematics. Second Series
publication date: 2000-07-13T00:00:00Z
full work available at URL: https://eudml.org/doc/120737
full work available at URL: 150 2.html
review text: The integrability theory of Hamiltonian systems on Lie groups is presented through an extension of the equations of motion of a rigid body around a fixed point. The system of differential equations is reduced by using the integrals of motion and the procedure of integration by quadratures is explained. The cases of elastic equations that admit purely meromorphic solutions when two principal moments of inertia are equal are found to be the well known integrable cases of Euler, Lagrange and Kowalewski. A case of complete Liouville integrability which does not fall in the meromorphically integrable class is presented.
reviewed by: Simos Ichtiaroglou
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 70H06
Mathematics Subject Classification ID: 70E40
zbMATH DE Number: 1419959
zbMATH Keywords: Hamiltonian systems
zbMATH Keywords: integrability
zbMATH Keywords: Lie groups
Wikidata QID: Q115229719
author: Velimir Jurdjevic
MaRDI profile type: Publication
OpenAlex ID: W2045063823
description: scientific article; zbMATH DE number 1419959