 | | 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.Ye. Baikov, "A limit cycle in a non-conservative sytem in 1:2 resonance," J. Appl. Math. Mech. 75 (3), 269-277 (2011) |
| Year |
2011 |
Volume |
75 |
Issue |
3 |
Pages |
269-277 |
| Title |
A limit cycle in a non-conservative sytem in 1:2 resonance |
| Author(s) |
A.Ye. Baikov (Moscow, Russia, alexbaikov16@gmail.com) |
| Abstract |
Systems with two degrees of freedom under the action of non-conservative forces and small linear viscous friction forces with complete dissipation are considered. A limit cycle that exists under specific conditions in the vicinity of an isolated equilibrium of the system is constructed using asymptotic methods in the case of 1:2 resonance. A criterion for asymptotic stability of this cycle is obtained to within equality-type relations. An estimate of the region of attraction of the limit cycle in a truncated system is given. Oscillations of a two-link rod system on a plane in 1:2 resonance are investigated. |
| Received |
26 July 2010 |
| Link to Fulltext |
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