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
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IssuesArchive of Issues2010-1pp.24-50

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G.A. Leonov, "Efficient methods in the search for periodic oscillations in dynamical systems," J. Appl. Math. Mech. 74 (1), 24-50 (2010)
Year 2010 Volume 74 Issue 1 Pages 24-50
Title Efficient methods in the search for periodic oscillations in dynamical systems
Author(s) G.A. Leonov (St Petersburg, Russia, leonov@math.spbu.ru)
Abstract Efficient methods in the search for the periodic oscillations of dynamical systems are described. Their application to the sixteenth Hilbert problem for quadratic systems and the Aizerman problem is considered. A synthesis of the method of harmonic linearization with the applied bifurcation theory and numerical methods for calculting periodic oscillations is described.
Received 06 October 2008
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