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IssuesArchive of Issues2014-3pp.267-274

Archive of Issues

Total articles in the database: 1813
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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 http://www.sciencedirect.com/science/article/pii/S0021892814000896
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