Topology of the elliptical billiard with the Hooke's potential

Topology of the elliptical billiard with the Hooke's potential

Using Fomenko graphs, we present a topological description of the elliptical billiard with Hooke's potential. [Projekat Ministarstva nauke Republike Srbije, br. 174020: Geometry and Topology of Manifolds and Integrable Dynamical Systems]

Bibliographic Details
Main Author: Radnović Milena
Format: Article
Language:English
Published: Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade 2015-01-01
Series:Theoretical and Applied Mechanics
Subjects:
elliptical billiards
confocal conics
integrable potential perturbations
Hooke's potential field
Fomenko graphs
Online Access:http://www.doiserbia.nb.rs/img/doi/1450-5584/2015/1450-55841501001R.pdf
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spelling doaj-016c1e88fc624ecbbb4edd2b52f908f02020-11-25T00:00:52ZengSerbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, BelgradeTheoretical and Applied Mechanics1450-55842406-09252015-01-014211910.2298/TAM1501001R1450-55841501001RTopology of the elliptical billiard with the Hooke's potentialRadnović Milena0Mathematical Institute SANU, Belgrade + University of Sydney, School of Mathematics and Statistics, Sydney, NSW AustraliaUsing Fomenko graphs, we present a topological description of the elliptical billiard with Hooke's potential. [Projekat Ministarstva nauke Republike Srbije, br. 174020: Geometry and Topology of Manifolds and Integrable Dynamical Systems]http://www.doiserbia.nb.rs/img/doi/1450-5584/2015/1450-55841501001R.pdfelliptical billiardsconfocal conicsintegrable potential perturbationsHooke's potential fieldFomenko graphs
collection DOAJ
language English
format Article
sources DOAJ
author Radnović Milena
spellingShingle Radnović Milena
Topology of the elliptical billiard with the Hooke's potential
Theoretical and Applied Mechanics
elliptical billiards
confocal conics
integrable potential perturbations
Hooke's potential field
Fomenko graphs
author_facet Radnović Milena
author_sort Radnović Milena
title Topology of the elliptical billiard with the Hooke's potential
title_short Topology of the elliptical billiard with the Hooke's potential
title_full Topology of the elliptical billiard with the Hooke's potential
title_fullStr Topology of the elliptical billiard with the Hooke's potential
title_full_unstemmed Topology of the elliptical billiard with the Hooke's potential
title_sort topology of the elliptical billiard with the hooke's potential
publisher Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade
series Theoretical and Applied Mechanics
issn 1450-5584
2406-0925
publishDate 2015-01-01
description Using Fomenko graphs, we present a topological description of the elliptical billiard with Hooke's potential. [Projekat Ministarstva nauke Republike Srbije, br. 174020: Geometry and Topology of Manifolds and Integrable Dynamical Systems]
topic elliptical billiards
confocal conics
integrable potential perturbations
Hooke's potential field
Fomenko graphs
url http://www.doiserbia.nb.rs/img/doi/1450-5584/2015/1450-55841501001R.pdf
work_keys_str_mv AT radnovicmilena topologyoftheellipticalbilliardwiththehookespotential
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