Resonances in the codimension-2 bifurcations in the Couette-Taylor problem

DOI10.1007/S00021-008-0293-YzbMath1262.76042OpenAlexW2076388264MaRDI QIDQ1949606

S. N. Ovchinnikova, Victor Yudovich

Publication date: 8 May 2013

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-008-0293-y

zbMATH Keywords

stabilitybifurcationresonancesamplitude equationsneutral curvescentral manifoldsecondary regimes

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Stability of solutions to ordinary differential equations (34D20) Stability and instability of nonparallel flows in hydrodynamic stability (76E09)

Related Items (3)

Nonresonant case of intersection of bifurcation curves in the Couette-Taylor problem ⋮ Oscillatory instability of the Couette flow between two unidirectionally rotating cylinders ⋮ The onset of resonance processes in the Couette-Taylor problem close to the point of codimension-2 bifurcation

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