Integrable perturbations of billiards on constant curvature surfaces.

DOI10.1016/S0375-9601(97)00332-0zbMath1053.37521OpenAlexW2057536251MaRDI QIDQ1968345

Božidar Žarko Jovanović

Publication date: 7 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(97)00332-0

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (2)

On elliptical billiards in the Lobachevsky space and associated geodesic hierarchies. ⋮ Hamiltonization of the generalized Veselova LR system

Cites Work

• Discrete versions of some classical integrable systems and factorization of matrix polynomials
• Some integrable extensions of Jacobi's problem of geodesics on an ellipsoid
• Billiard systems on quadric surfaces and the Poncelet theorem

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