Billiard systems with locally linear dynamics

Abstract: Can a billiard map be locally conjugated to a rigid rotation? We prove that the answer to this question is positive in the category of formal series that determine the boundary. We also present numerical evidence that for ``good'' rotation angles the answer is also positive in analytic category.

mathematical physicsdifferential geometrydynamical systemssymplectic geometrychaotic dynamicsexactly solvable and integrable systemsfluid dynamicsquantum physics

Audience: researchers in the topic

Geometry, Dynamics and Mechanics Seminar

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