Angular Billiard and Algebraic Birkhoff conjecture
classification
🧮 math.DG
math-phmath.MPnlin.SI
keywords
billiardbirkhoffsystemalgebraicangularconjecturecurveacts
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In this paper we introduce a new dynamical system which we call Angular billiard. It acts on the exterior points of a convex curve in Euclidean plane. In a neighborhood of the boundary curve this system turns out to be dual to the Birkhoff billiard. Using this system we get new results on algebraic Birkhoff conjecture on integrable billiards.
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