Veiled assonance between geodesics on ellipsoid and billiard in its focal ellipse
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Publication:1922664
DOI10.1016/0393-0440(95)00041-0zbMath0980.53099OpenAlexW2008721941WikidataQ127391121 ScholiaQ127391121MaRDI QIDQ1922664
Publication date: 6 March 2002
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0393-0440(95)00041-0
dynamical systemsphase spacegeodesic flowgeodesicbilliardfirst integralrotation numbersbilliard flowsellipsoidal confocal coordinates
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Cites Work
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- Über einfach geschlossene geodätische Linien auf dem Ellipsoid
- Are all the equations of the Kadomtsev–Petviashvili hierarchy integrable?
- Elliptical billiards and Poncelet’s theorem
- Billiard systems on quadric surfaces and the Poncelet theorem
- Geodesics on quadrics and a mechanical problem of C. Neumann.
- Transversal Homoclinic Orbits in an Integrable System
- THE EXISTENCE OF CAUSTICS FOR A BILLIARD PROBLEM IN A CONVEX DOMAIN
- Separatrices splitting for Birkhoff’s billiard in symmetric convex domain, closed to an ellipse
- Riemannian geometry
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