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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.

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Authors and Affiliations

  1. Lefschetz Center for Dynamical Systems Division of Applied Mathematics, Brown University, 02912, Providence, RI, USA

    Hüseyin Koçak

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  1. Hüseyin Koçak
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Research supported in part by the National Science Foundation under NSF-MCS 8205355.

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Koçak, H. Quadratic integrals of linear Hamiltonian systems. Monatshefte für Mathematik 98, 53–63 (1984). https://doi.org/10.1007/BF01536908

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  • DOI: https://doi.org/10.1007/BF01536908

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