On periodical trajectories of the billiard systems within an ellipsoid in Rd and generalized Cayley’s condition

DOI10.1063/1.532600zbMath0927.37019OpenAlexW1987238720MaRDI QIDQ4701525

Milena Radnović, Vladimir Dragović

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532600

zbMATH Keywords

hyperplaneperiodic trajectorybilliard systemanalytic condition

Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05)

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Cites Work

• Integrable discrete-time systems and difference operators
• Discrete versions of some classical integrable systems and factorization of matrix polynomials
• A Poncelet theorem in space
• Elliptical billiards and Poncelet’s theorem
• Elliptical billiard systems and the full Poncelet’s theorem in n dimensions
• Elliptical billiards and hyperelliptic functions
• Conditions of Cayley’s type for ellipsoidal billiard