Billiards and nonholonomic distributions

DOI10.1007/s10958-005-0220-1zbMath1120.37033OpenAlexW2014072970MaRDI QIDQ997749

J. Martínez

Publication date: 7 August 2007

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0220-1

zbMATH Keywords

periodic orbitsbilliards with rational caustics

Mathematics Subject Classification ID

Hamilton's equations (70H05) Nonholonomic dynamical systems (37J60)

Related Items (4)

Computation of scattering resonances for dielectric resonators ⋮ On odd-periodic orbits in complex planar billiards ⋮ On 4-reflective complex analytic planar billiards ⋮ Inverse problems and rigidity questions in billiard dynamics

Cites Work

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• Convex curves whose points are vertices of billiard triangles
• Periodic points of the billiard ball map in a convex domain
• Invariant tori in Hamiltonian systems with impacts
• Exterior differential systems and the calculus of variations
• Caustics for inner and outer billiards
• An optimal control formulation of the Blaschke-Lebesgue theorem
• Strange Billiard Tables

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