Počet záznamů: 1

On a dynamics in rational polygonal billiards

  1. 1.
    0364562 - UT-L 2012 RIV CZ eng C - Konferenční příspěvek (zahraniční konf.)
    Soukenka, Martin
    On a dynamics in rational polygonal billiards.
    Programs and algorithms of numerical mathematics 15.. Prague: Institute of Mathematics, Academy of Sciences of the Czech Republic, 2011 - (Chleboun, J.; Přikryl, P.; Segeth, K.; Vejchodský, T.), s. 177-182. ISBN 978-80-85823-57-8.
    [Programs and Algorithms of Numerical Mathematics /15./. Dolní Maxov (CZ), 06.06.2011-11.06.2011]
    Výzkumný záměr: CEZ:AV0Z20760514
    Klíčová slova: topological dynamics * polygonal billiards
    Kód oboru RIV: BA - Obecná matematika

    For a special shaped rational polygonal billiard table we consider a dynamical system generated by the free motion of a mass-point subject to the elastic reflection in the boundary. By numerical experiments we study two open problems in the field: (i) an existence of so called Li-York chaos, (ii) maximal length of common itineraries in two quasi-similar rational polygons. Under detailed theoretical analysis and numerical results we postulate a conjecture.
    Trvalý link: http://hdl.handle.net/11104/0200017