Billiard dynamics: a survey with the emphasis on open problems


    2011, Vol. 7, No. 3, pp.  489-512

    Author(s): Gutkin E.

    The survey of the subject, emphasizing the open problems.

    With a supplement written by the author for a Russian translation. (The 2003 English original: Eugene Gutkin, Billiard dynamics: A survey with the emphasis on open problems on billiards, Regul. Chaotic Dyn., 2003, 8 (1), pp. 1–13.)
    Keywords: billiard flow, billiard map, periodic orbits, elliptic dynamics, hyperbolic dynamics, parabolic dynamics, Birkhoff conjecture, phase locking, security
    Citation: Gutkin E., Billiard dynamics: a survey with the emphasis on open problems, Rus. J. Nonlin. Dyn., 2011, Vol. 7, No. 3, pp.  489-512
    DOI:10.20537/nd1103006


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