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Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 130, Number 2, Pages 301–319
DOI: https://doi.org/10.4213/tmf304
(Mi tmf304)
 

This article is cited in 2 scientific papers (total in 2 papers)

Invariant Distributions in Systems with Elastic Reflections

S. V. Naydenov, V. V. Yanovskii

Institute for Single Crystals, National Academy of Sciences of Ukraine
Full-text PDF (253 kB) Citations (2)
References:
Abstract: We derive equations for invariant distributions of billiards as invertible (measure-preserving) dynamic systems in a symmetric phase space and find their solutions. We introduce and investigate invariant measures for the complete and contracted descriptions and establish the relation between them.
Received: 26.06.2001
English version:
Theoretical and Mathematical Physics, 2002, Volume 130, Issue 2, Pages 256–270
DOI: https://doi.org/10.1023/A:1014295517366
Bibliographic databases:
Language: Russian
Citation: S. V. Naydenov, V. V. Yanovskii, “Invariant Distributions in Systems with Elastic Reflections”, TMF, 130:2 (2002), 301–319; Theoret. and Math. Phys., 130:2 (2002), 256–270
Citation in format AMSBIB
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\paper Invariant Distributions in Systems with Elastic Reflections
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\yr 2002
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Linking options:
  • https://www.mathnet.ru/eng/tmf304
  • https://doi.org/10.4213/tmf304
  • https://www.mathnet.ru/eng/tmf/v130/i2/p301
  • This publication is cited in the following 2 articles:
    1. Bolotin, YL, “The world of chaos”, Problems of Atomic Science and Technology, 2007, no. 3, 255  isi
    2. Naydenov, SV, “Polymorphous billiard as a new type of billiards with chaotic ray dynamics”, Problems of Atomic Science and Technology, 2007, no. 3, 285  isi
    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
    Statistics & downloads:
    Abstract page:539
    Full-text PDF :233
    References:93
    First page:2
     
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