Quadratic integrals of linear Hamiltonian systems
type: Item
instance of: scholarly article
title: Quadratic integrals of linear Hamiltonian systems
zbMATH Open document ID: 0541.34021
DOI: 10.1007/BF01536908
published in: Monatshefte für Mathematik
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/178190
review text: The momentum mapping of an autonomous, real linear Hamiltonian system is determined by its set of quadratic integrals. Such a system can be identified with an element of the real symplectic algebra and its quadratic integrals correspond to the centralizer of this element inside the symplectic algebra. In this paper, using a new set of normal forms for the elements of the real symplectic algebra, we compute their centralizers explicitly.
Mathematics Subject Classification ID: 34C20
Mathematics Subject Classification ID: 70H05
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 15A21
zbMATH DE Number: 3859539
zbMATH Keywords: momentum mapping
zbMATH Keywords: real linear Hamiltonian system
zbMATH Keywords: quadratic integrals
zbMATH Keywords: real symplectic algebra
zbMATH Keywords: centralizers
author: Hüseyin Koçak
MaRDI profile type: Publication
cites work: Q4174811
cites work: Q4167627
cites work: Q4148103
cites work: Conjugacy classes in linear groups
cites work: Q4064742
cites work: Reduction of the semisimple \(1:1\) resonance
cites work: Q3261425
cites work: The state labeling problems for SO(N) in U(N) and U(M) in Sp(2M)
cites work: Introduction to Lie Algebras and Representation Theory
cites work: Linear Hamiltonian systems are integrable with quadratics
cites work: Topology and mechanics. I
OpenAlex ID: W361048381
description: scientific article; zbMATH DE number 3859539