Quadratic integrals of linear Hamiltonian systems

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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 1984
Externally publishedYes

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Hamiltonian Systems
Linear Systems
Centralizer
Algebra
Normal Form
Momentum

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Quadratic integrals of linear Hamiltonian systems. / Kocak, Huseyin.

In: Monatshefte für Mathematik, Vol. 98, No. 1, 03.1984, p. 53-63.

Research output: Contribution to journalArticle

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