Title	Pseudo-integrable billiards
Creator	Dragovic, Vladimir
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-06-14T11:53
Description	We present a class of nonconvex billiards with a boundary composed of arcs of confocal conics which contain reflex (nonconvex) angles. We present their basic dynamical, topological, and arithmetic properties. Such systems are not integrable, but carry strong traces of integrability. We study their periodic orbits and establish a local Poncelet porism. A connection with interval exchange transformation is established together with the Keane-type conditions for minimality. A transformation from pseudo-integrable billiards to rectangular billiards is constructed. This research is done jointly with M. Radnovic.
Extent	36.0
Subject	Mathematics; Dynamical systems and ergodic theory; Ordinary differential equations; Dynamical systems
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: The University of Texas at Dallas
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-02-28
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0376571
URI	http://hdl.handle.net/2429/68433
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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