Estimating elliptic billiard invariants with spatial integrals
DOI10.1007/s10883-022-09608-yOpenAlexW4292075190WikidataQ114225836 ScholiaQ114225836MaRDI QIDQ6078374
Dan Reznik, Jair Koiller, Ronaldo A. Garcia
Publication date: 24 October 2023
Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10883-022-09608-y
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Periodic orbits of vector fields and flows (37C27) Simulation of dynamical systems (37M05) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Dynamical systems with singularities (billiards, etc.) (37C83)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Suspension of the billiard maps in the Lazutkin's coordinate
- Complex caustics of the elliptic billiard
- More about areas and centers of Poncelet polygons
- Fifty new invariants of \(N\)-periodics in the elliptic billiard
- Poncelet's porism: a long story of renewed discoveries. I
- Can the elliptic billiard still surprise us?
- Billiards in ellipses revisited
- Dan Reznik's identities and more
- On curves with the Poritsky property
- The billiard ball problem on a table with a convex boundary - An illustrative dynamical problem. I. The invariant integral
- Poncelet Porisms and Beyond
- The rotation number of some transformation related to billiards in an ellipse
- On the integrability of Birkhoff billiards
- A Property of Parallelograms Inscribed in Ellipses
- What is the Ergodic Theorem?
- Integrable elliptic billiards and ballyards
This page was built for publication: Estimating elliptic billiard invariants with spatial integrals