Veiled assonance between geodesics on ellipsoid and billiard in its focal ellipse
type: Item
instance of: scholarly article
title: Veiled assonance between geodesics on ellipsoid and billiard in its focal ellipse
zbMATH Open document ID: 0980.53099
DOI: 10.1016/0393-0440(95)00041-0
author: Yanyan Li
published in: Journal of Geometry and Physics
publication date: 2002-03-06T00:00:00Z
Mathematics Subject Classification ID: 53D25
Mathematics Subject Classification ID: 37D50
Mathematics Subject Classification ID: 37K25
Mathematics Subject Classification ID: 70H20
Mathematics Subject Classification ID: 37D40
Mathematics Subject Classification ID: 53C22
zbMATH DE Number: 927902
zbMATH Keywords: geodesic flow
zbMATH Keywords: ellipsoidal confocal coordinates
zbMATH Keywords: geodesic
zbMATH Keywords: billiard
zbMATH Keywords: dynamical systems
zbMATH Keywords: first integral
zbMATH Keywords: billiard flows
zbMATH Keywords: phase space
zbMATH Keywords: rotation numbers
MaRDI profile type: Publication
full work available at URL: 0393-0440(95)00041-0
OpenAlex ID: W2008721941
cites work: Q4167627
cites work: Caustics and evolutes for convex planar domains
cites work: Q3198453
cites work: Q3490662
cites work: Q3127197
cites work: Elliptical billiards and Poncelet’s theorem
cites work: Billiard systems on quadric surfaces and the Poncelet theorem
cites work: Transversal Homoclinic Orbits in an Integrable System
cites work: On Cayley's explicit solution to Poncelet's porism
cites work: Q4275389
cites work: Asymptotic solution of eigenvalue problems
cites work: Riemannian geometry
cites work: Geodesics on the ellipsoid
cites work: Geodesics on quadrics and a mechanical problem of C. Neumann.
cites work: THE EXISTENCE OF CAUSTICS FOR A BILLIARD PROBLEM IN A CONVEX DOMAIN
cites work: Q3314627
cites work: Q4695107
cites work: Q5821083
cites work: Q3921864
cites work: Are all the equations of the Kadomtsev–Petviashvili hierarchy integrable?
cites work: Q3960186
cites work: Q4842383
cites work: Q4839169
cites work: Separatrices splitting for Birkhoff’s billiard in symmetric convex domain, closed to an ellipse
cites work: Q3363790
cites work: Q4287433
cites work: Über einfach geschlossene geodätische Linien auf dem Ellipsoid
cites work: Q3844537
Wikidata QID: Q127391121
description: scientific article; zbMATH DE number 927902