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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2011, Issue 1(22), Pages 134–139 (Mi vsgtu895)  

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

Procedings of the 2nd International Conference "Mathematical Physics and its Applications"
Mathematical Physics

On classical and functional approachs to mechanics

E. V. Piskovskiy

Moscow Institute of Physics and Technology, Faculty of Control and Applied Mathematics, Dolgoprudniy, Moskovskaya obl.

Abstract: In this paper the relevance of the classical trajectory of the anharmonic oscillator and the average trajectory obtained within the functional approach is considered. Dependence of threshold time of divergence of trajectories on dispersion of initial values is derived.

Keywords: functional mechanics, classical mechanics, model system, anharmonic oscillator, threshold time

DOI: https://doi.org/10.14498/vsgtu895

Full text: PDF file (500 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
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English version:
DOI: https://doi.org/10.1134/S2070046611030095

Bibliographic databases:

UDC: 517.958
MSC: 82C05
Original article submitted 21/XII/2010
revision submitted – 27/II/2011

Citation: E. V. Piskovskiy, “On classical and functional approachs to mechanics”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(22) (2011), 134–139

Citation in format AMSBIB
\Bibitem{Pis11}
\by E.~V.~Piskovskiy
\paper On classical and functional approachs to mechanics
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2011
\vol 1(22)
\pages 134--139
\mathnet{http://mi.mathnet.ru/vsgtu895}
\crossref{https://doi.org/10.14498/vsgtu895}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. S. Trushechkin, “O strogom opredelenii mikroskopicheskikh reshenii uravneniya Boltsmana–Enskoga”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 1(30) (2013), 270–278  mathnet  crossref
    2. A. S. Trushechkin, “Microscopic solutions of kinetic equations and the irreversibility problem”, Proc. Steklov Inst. Math., 285 (2014), 251–274  mathnet  crossref  crossref  isi  elib  elib
  • Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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