On a dynamics in rational polygonal billiards
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F11%3A00364562" target="_blank" >RIV/61388998:_____/11:00364562 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
On a dynamics in rational polygonal billiards
Original language description
For a special shaped rational polygonal billiard table we consider a dynamical system generated by the free motion of a mass-point subject to the elastic reflection in the boundary. By numerical experiments we study two open problems in the field: (i) anexistence of so called Li-York chaos, (ii) maximal length of common itineraries in two quasi-similar rational polygons. Under detailed theoretical analysis and numerical results we postulate a conjecture.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Programs and algorithms of numerical mathematics 15.
ISBN
978-80-85823-57-8
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
177-182
Publisher name
Institute of Mathematics, Academy of Sciences of the Czech Republic
Place of publication
Prague
Event location
Dolní Maxov
Event date
Jun 6, 2011
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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