Hamiltonian mechanics on discrete manifolds

V. Talasila, J.J. Clemente Gallardo, Arjan van der Schaft

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    Abstract

    The mathematical/geometric structure of discrete models of systems, whether these models are obtained after discretization of a smooth system or as a direct result of modeling at the discrete level, have not been studied much. Mostly one is concerned regarding the nature of the solutions, but not much has been done regarding the structure of these discrete models. In this paper we provide a framework for the study of discrete models, speci?cally we present a Hamiltonian point of view. To this end we introduce the concept of a discrete calculus.
    Original languageEnglish
    Title of host publicationProceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems
    Place of PublicationLeuven
    PublisherKatholieke Universiteit Leuven
    Number of pages22
    ISBN (Print)9056825178
    Publication statusPublished - 2004
    Event16th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2004 - Leuven, Belgium
    Duration: 5 Jul 20049 Jul 2004
    Conference number: 16

    Conference

    Conference16th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2004
    Abbreviated titleMTNS
    CountryBelgium
    CityLeuven
    Period5/07/049/07/04

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