u (x,y,u)jean-pierre conze (university of rennes 1) we consider the billiard flow in the plane with...

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    (x,y,u)

    u

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    A transient behavior

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    long periodic orbit, θ= π/4, a=0.05535, b=0.08775

  • 6tan(θ) = 1, a/b irrational, recurrent, ergodic

  • 7Tan(θ) = 3, 1000 reflections

    Recurrent, ergodic

  • 8tan(θ) = 3, 3000 reflections

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    BA

    D C

    B1

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    A B

    D C

    B1

    C1

    A1

    D1

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    A B

    D C

    B1

    C1

    A1

    D1

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