 | | 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) |
Archive of Issues
| Total articles in the database: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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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 |
| Link to Fulltext |
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