Normal forms of billiards

S. V. Naydenov, V. V. Yanovskii

Institute for Single Crystals, National Academy of Sciences of Ukraine, Kharkov

Abstract: The theory for normal billiard forms as a new class of reversible dynamic systems with projective involution is created. The qualitative analysis is carried out for regular points of billiard mapping that are close to the cycles of arbitrary order and about the diagonal of symmetric phase space.

MSC: 37D50, 37G05, 58K50, 70K45

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