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Title of Article

BIFURCATIONS OF HIGHER CO-DIMENSIONS IN THE COUETTE - TAYLOR PROBLEM


Issue
4
Date
2011

Article type
scientific article
UDC
532.516
Pages
1019-1021
Keywords
 


Authors
Ovchinnikova S.N.
Yuzhnyy federalnyy universitet, Rostov-na-Donu


Abstract
Results of calculation of bifurcation points of co-dimensions 1, 2, 3 in the Couette flow between concentric co-rotational cylinders are presented. In the near vicinity of these points, one can investigate analytically the sequence of bifurcations leading to chaotic regimes. The form of neutral curves of co-dimension-1 changes for high angular velocities of the cylinders, and various intersections of 2 and 3 neutral curves (bifurcation points of co-dimensions 2 and 3) appear.

File (in Russian)