Remarks on Braid Theory and the characterisation of periodic orbits

Mario Natiello, Hernan Solari

    Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskriftPeer review

    Sammanfattning

    The relationship between Braid Theory and the organisation of periodic orbits of dynamical systems is considered.

    It is shown that for some (physically relevant) 3-d flows the characterisation of periodic orbits by means of Braid Theory can be done on the Poincaré surface in an efficient way. The result is a thread-less graphical presentation of a braid class.

    We discuss extensions of this approach to (adequate) dynamical systems of dimension higher than three, using results from Central Manifold Theory.
    Originalspråkengelska
    Sidor (från-till)511-529
    TidskriftJournal of Knot Theory and its Ramifications
    Volym3
    Nummer4
    DOI
    StatusPublished - 1994

    Ämnesklassifikation (UKÄ)

    • Matematik

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