Quadratic integrals of linear Hamiltonian systems

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)53-63
Number of pages11
JournalMonatshefte für Mathematik
Volume98
Issue number1
DOIs
StatePublished - Mar 1 1984
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Quadratic integrals of linear Hamiltonian systems'. Together they form a unique fingerprint.

  • Cite this