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Fundamentalnaya i Prikladnaya Matematika, 1998, Volume 4, Issue 3, Pages 1047–1061 (Mi fpm341)  

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

Research Papers Dedicated to the Memory of A. N. Tikhonov

On heuristic model of aerodynamical pendulum

B. Ya. Lokshin, V. A. Samsonov

Research Institute of Mechanics, M. V. Lomonosov Moscow State University
Full-text PDF (667 kB) Citations (2)
Abstract: For the aerodynamical pendulum being in a stationary flow, the heuristic quasistationary mathematical model of flow action is constructed. This model is based as well on the concept of the instantaneous pressure center and angle of attack as on the idea of aid masses. The obtained model is a system of differential and transcendental equations. The algorithm for the solution of the latter ones and the principle for the choice of solution branch are proposed. By using analytical and calculating methods the phase portraits of this system are constructed for all values of the holder length. The local and nonlocal bifurcations are discovered and described.
Received: 01.05.1997
Bibliographic databases:
Document Type: Article
UDC: 532.36
Language: Russian
Citation: B. Ya. Lokshin, V. A. Samsonov, “On heuristic model of aerodynamical pendulum”, Fundam. Prikl. Mat., 4:3 (1998), 1047–1061
Citation in format AMSBIB
\Bibitem{LokSam98}
\by B.~Ya.~Lokshin, V.~A.~Samsonov
\paper On~heuristic model of aerodynamical pendulum
\jour Fundam. Prikl. Mat.
\yr 1998
\vol 4
\issue 3
\pages 1047--1061
\mathnet{http://mi.mathnet.ru/fpm341}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1800048}
\zmath{https://zbmath.org/?q=an:0979.70018}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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