Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version)

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Total articles in the database: 10482
In Russian (ΟΜΜ): 9683
In English (J. Appl. Math. Mech.): 799

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T.B. Ivanova and I.S. Mamaev, "Dynamics of a Painlevé-Appell system," J. Appl. Math. Mech. 80 (1), 7-15 (2016)
Year 2016 Volume 80 Issue 1 Pages 7-15
DOI 10.1016/j.jappmathmech.2016.05.003
Title Dynamics of a Painlevé-Appell system
Author(s) T.B. Ivanova (V. A. Steklov Mathematics Institute, Russian Academy of Sciences, Moscow, Russia, tbesp@rcd.ru)
I.S. Mamaev (V. A. Steklov Mathematics Institute, Russian Academy of Sciences, Moscow, Russia, mamaev@rcd.ru)
Abstract The dynamics of a Painlevé-Appell system consisting of two point masses joined by a weightless rigid rod is studied within two mechanical models, which describe different motion regimes. One of the masses can slide or can be supported at rest on a rough straight line. The boundaries of the region of definition of each of the models are presented, and the transitions between them are analysed for various friction coefficients.
Received 28 April 2015
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