 | | 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: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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| A.L. Kunitsyn, "The resonance stabilization of a class of unstable systems," J. Appl. Math. Mech. 75 (5), 508-510 (2011) |
| Year |
2011 |
Volume |
75 |
Issue |
5 |
Pages |
508-510 |
| Title |
The resonance stabilization of a class of unstable systems |
| Author(s) |
A.L. Kunitsyn (Moscow, Russia, akunitsyn@mail.ru) |
| Abstract |
The Lyapunov stability of the trivial solution of a non-linear system, which, in the first approximation, describes a multifrequency oscillatory process, is investigated. It is shown that a system that is unstable when account is taken of non-linear terms can be made asymptotically stable by tuning it to a fourth-order resonance. Sufficient conditions for asymptotic stability are obtained. |
| Received |
11 September 2010 |
| Link to Fulltext |
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