 | | 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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| S.N. Ovchinnikova, "The onset of resonance processes in the Couette-Taylor problem close to the point of codimension-2 bifurcation," J. Appl. Math. Mech. 78 (3), 267-274 (2014) |
| Year |
2014 |
Volume |
78 |
Issue |
3 |
Pages |
267-274 |
| Title |
The onset of resonance processes in the Couette-Taylor problem close to the point of codimension-2 bifurcation |
| Author(s) |
S.N. Ovchinnikova (Rostov-on-Don, Russia, ovch.09@mail.ru) |
| Abstract |
The bifurcations on passing around the point of intersection of two neutral curves (points of codimension-2 bifurcation) are considered in the Couette-Taylor problem of the fluid motion between rotating cylinders. The secondary modes in a small neighbourhood of a point of codimension-2 bifurcation are studied using a system of non-linear amplitude equations in a central manifold. The steady-state solutions of the amplitude systems, to which secondary periodic modes of the travelling-wave type, non-linear mixtures of travelling waves and unsteady two-, three- and four-frequency quasiperiodic solutions of the system of Navier-Stokes equations correspond, are analysed. A numerical analysis of the conditions for the existence and stability of irrotationally symmetric steady-state fluid flows between unidirectionally rotating cylinders is carried out. |
| Received |
21 June 2013 |
| Link to Fulltext |
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