u (x,y,u)Jean-Pierre Conze (University of Rennes 1) We consider the billiard flow in the plane with...
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Transcript of 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
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6tan(θ) = 1, a/b irrational, recurrent, ergodic
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7Tan(θ) = 3, 1000 reflections
Recurrent, ergodic
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8tan(θ) = 3, 3000 reflections
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BA
D C
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A B
D C
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D1
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A B
D C
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