Quadratic integrals of linear Hamiltonian systems

Hüseyin Koçak

doi:10.1007/BF01536908

Quadratic integrals of linear Hamiltonian systems

Hüseyin Koçak

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	53-63
Number of pages	11
Journal	Monatshefte für Mathematik
Volume	98
Issue number	1
DOIs	https://doi.org/10.1007/BF01536908
State	Published - Mar 1 1984
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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title = "Quadratic integrals of linear Hamiltonian systems",

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.",

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AB - 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.

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Quadratic integrals of linear Hamiltonian systems

Abstract

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