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Revista de la Facultad de Ingeniería Universidad Central de Venezuela

Print version ISSN 0798-4065

Abstract

MIKOSS, Imre  and  GARCIA, Pedro. A geometrical approach to the characterization of the Sinai billiard. Rev. Fac. Ing. UCV [online]. 2010, vol.25, n.1, pp.105-111. ISSN 0798-4065.

We present a geometrical construction of the map associated to the Sinai billiard in the largest scatterer limit. The main result is validated by checking how consecutive iterations of the map are in agreement with symmetrical reflections on the plane sections of the boundary. Results that can be useful not only in the characterization of the Sinai’s billiard but in areas such as Non-Destructive Testing are shown

Keywords : Chaotic system; Sinai’s Billiard; Discrete map; Hamiltonian chaos; Quantum chaos.

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