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Pramana : Journal of Physics
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arXiv.org e-Print Archive
Preprint . 1996
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Pramana : Journal of Physics
Article . 1997 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 1996
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https://dx.doi.org/10.1007/bf0...
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Periodic orbits in polygonal billiards

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Feb 1997Embargo end date: 01 Jan 1996 English Publisher:Springer Science and Business Media LLCJournal:Pramana, volume 48, pages 487-501 (issn: 0304-4289, eissn: 0973-7111, Copyright policy )
Authors: Biswas, Debabrata;

doi: 10.1007/bf02845658 , 10.48550/arxiv.chao-dyn/9609001

arXiv: chao-dyn/9609001

Periodic orbits in polygonal billiards

Abstract

We review some properties of periodic orbit families in polygonal billiards and discuss in particular a sum rule that they obey. In addition, we provide algorithms to determine periodic orbit families and present numerical results that shed new light on the proliferation law and its variation with the genus of the invariant surface. Finally, we deal with correlations in the length spectrum and find that long orbits display Poisson fluctuations.

30 pages (Latex) including 11 figures

Related Organizations
Keywords

FOS: Physical sciences, Chaotic Dynamics (nlin.CD), Nonlinear Sciences - Chaotic Dynamics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Average
Top 10%
Top 10%
Green
gold