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Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2014-1pp.39-47

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B.Ya. Lokshin, Yu.M. Okunev, and V.A. Samsonov, "Some features of the deceleration of an inhomogeneous ball in the air," J. Appl. Math. Mech. 78 (1), 39-47 (2014)
Year 2014 Volume 78 Issue 1 Pages 39-47
Title Some features of the deceleration of an inhomogeneous ball in the air
Author(s) B.Ya. Lokshin (Moscow, Russia)
Yu.M. Okunev (Moscow, Russia)
V.A. Samsonov (Moscow, Russia, samson@imec.msu.ru)
Abstract A model of the deceleration of an inhomogeneous ball acted upon by the drag of the air is discussed, taking into account the interaction of the translational and rotational motions. The problem is reduced to analysing a non-linear second-order dynamical system. The steady motions of the ball, including self-oscillatory and self-rotation motions, are obtained. The bifurcation values of the parameters defining these motions are determined. The corresponding phase portraits are constructed and an interesting interpretation of them is given.
Received 04 February 2013
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