Calculation of oscillatory regimes in Couette flow in the neighborhood of the point of intersection of bifurcations initiating Taylor vortices and azimuthal waves

DOI10.1007/BF02698218zbMath0945.76022OpenAlexW2081270685MaRDI QIDQ1304555

V. V. Kolesov, Victor Yudovich

Publication date: 9 October 2000

Published in: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02698218

zbMATH Keywords

limit cyclesbifurcation theoryCouette flowchaotic attractorsNavier-Stokes systemquasiperiodic oscillationsneutral curvesoscillating instabilitiescomplete amplitude systemIBM PC program Cyclopmonotonic instabilitiesmotor subsystemoppositely rotating cylindersself-oscillating regimes

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) General theory of rotating fluids (76U05) Rotation in hydrodynamic stability (76E07)

Related Items (6)

On the nonlinear dynamical system of amplitude equations corresponding to intersections of bifurcations in the flow between permeable cylinders with radial and axial flows ⋮ Variational principles and stability of the inviscid open flows ⋮ Chaos generation in the Couette-Taylor problem for permeable cylinders ⋮ Unnamed Item ⋮ Calculation of the stationary, periodic, and quasi-periodic viscous fluid flows between two rotating permeable cylinders ⋮ Unnamed Item

Cites Work

• Primary and secondary bifurcations in the Couette-Taylor problem
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