scientific article

zbMath1012.70014MaRDI QIDQ2714650

V. I. Dragovich

Publication date: 20 June 2001

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

polynomialsintegrable perturbationsgeneralized coordinatespotential forceintegrable potentialsBirkhoff billiardelliptic billiard

Mathematics Subject Classification ID

Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items (4)

Topological analysis of an elliptic billiard in a fourth-order potential field ⋮ Projective integrable mechanical billiards ⋮ Geometry of integrable billiards and pencils of quadrics ⋮ Topological analysis of a billiard bounded by confocal quadrics in a potential field

Cites Work

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• Kepler's problem in constant curvature spaces
• Some integrable extensions of Jacobi's problem of geodesics on an ellipsoid
• Elliptical billiard table with Newtonian potential
• Integrable systems on the sphere with elastic interaction potentials

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