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 Issues2011-6pp.652-654

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Total articles in the database: 10512
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A.L. Kunitsyn, "Resonant instability in multidimensional Lyapunov systems," J. Appl. Math. Mech. 75 (6), 652-654 (2011)
Year 2011 Volume 75 Issue 6 Pages 652-654
Title Resonant instability in multidimensional Lyapunov systems
Author(s) A.L. Kunitsyn (Moscow, Russia, akunitsyn@mail.ru)
Abstract The stability of a point of rest of a Lyapunov system, which describes the perturbed motion of a dynamical system with an arbitrary number of degrees of freedom, is investigated. It is assumed that the characteristic equation of the system of the first approximation has a number of imaginary roots, while the quadratic part of the integral is not sign-definite. The case of third-order resonance is considered, when the stability problem is solved by the first non-linear (quadratic) terms.
Received 31 March 2010
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