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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2012, Volume 12, Issue 4, Pages 27–31
DOI: https://doi.org/10.18500/1816-9791-2012-12-4-27-31
(Mi isu328)
 

This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Mathematical model of dynamic chaos

V. A. Podchukaev

Saratov State Academy of Law
Full-text PDF (135 kB) Citations (1)
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Abstract: The problem of analytical designing on the set mathematical model of dynamic system in space of states of mathematical model accompanying it in phase space is put and solved. It is shown, that the representing point of any decision of dynamic system of a general view in space of states conditions belongs to hypersphere with the displaced centre in phase space (or to central hypersphere of variable radius equivalent to it). Analytical representation of the centre of the displacement, an explaining origin of dynamic chaos by infinite ruptures of the second sort in co-ordinates of the centre of displacement is designed. It is shown, that these ruptures are generated by transition through a zero corresponding a component of a vector of states.
Key words: dynamic system, ordinary homogeneous differential equations, hypersphere, displaced centre, dynamic chaos.
Bibliographic databases:
Document Type: Article
UDC: 519.71
Language: Russian
Citation: V. A. Podchukaev, “Mathematical model of dynamic chaos”, Izv. Saratov Univ. Math. Mech. Inform., 12:4 (2012), 27–31
Citation in format AMSBIB
\Bibitem{Pod12}
\by V.~A.~Podchukaev
\paper Mathematical model of dynamic chaos
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2012
\vol 12
\issue 4
\pages 27--31
\mathnet{http://mi.mathnet.ru/isu328}
\crossref{https://doi.org/10.18500/1816-9791-2012-12-4-27-31}
\elib{https://elibrary.ru/item.asp?id=22271148}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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    Abstract page:442
    Full-text PDF :183
    References:57
    First page:1
     
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