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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 129, Number 1, Pages 116–130
DOI: https://doi.org/10.4213/tmf524 (Mi tmf524) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Geometric-Dynamic Approach to Billiard Systems: II. Geometric Features of Involutions

S. V. Naydenov, V. V. Yanovskii

Institute for Single Crystals, National Academy of Sciences of Ukraine
Full-text PDF (237 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf524
Abstract: The following geometric features of billiard involutions are established and investigated: covariance, transformations related to reflections of billiard rays, types of symmetries, and the character of monotonicity and differentiability.
Received: 14.03.2001
English version:
Theoretical and Mathematical Physics, 2001, Volume 129, Issue 1, Pages 1408–1420
DOI: https://doi.org/10.1023/A:1012475713108
Bibliographic databases:
Language: Russian
Citation: S. V. Naydenov, V. V. Yanovskii, “Geometric-Dynamic Approach to Billiard Systems: II. Geometric Features of Involutions”, TMF, 129:1 (2001), 116–130; Theoret. and Math. Phys., 129:1 (2001), 1408–1420
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/tmf524
  • https://doi.org/10.4213/tmf524
  • https://www.mathnet.ru/eng/tmf/v129/i1/p116
    Cycle of papers
    This publication is cited in the following 4 articles:
    1. D. M. Naplekov, V. P. Seminozhenko, V. V. Yanovskii, “Uravnenie sostoyaniya idealnogo gaza v soobschayuschikhsya sosudakh”, Nelineinaya dinam., 9:3 (2013), 435–457  mathnet
    2. S. V. Naydenov, D. M. Naplekov, V. V. Yanovskii, “New mechanism of chaos in triangular billiards”, JETP Letters, 98:8 (2013), 496–502  mathnet  crossref  crossref  isi  elib
    3. Bolotin, YL, “The world of chaos”, Problems of Atomic Science and Technology, 2007, no. 3, 255  isi
    4. S. V. Naydenov, V. V. Yanovskii, “Invariant Distributions in Systems with Elastic Reflections”, Theoret. and Math. Phys., 130:2 (2002), 256–270  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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