Double Hopf Bifurcations in the Differentially Heated Rotating Annulus

DOI10.1137/S0036139901386405zbMath1027.37051OpenAlexW2009074387MaRDI QIDQ4429769

Gregory M. Lewis, Wayne Nagata

Publication date: 28 September 2003

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139901386405

zbMATH Keywords

center manifold reductionnumerical approximation of normal form coefficientsdifferentially heated rotating fluid experimentaxisymmetric to nonaxisymmetric transitionhysteresis of rotating waves

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) General theory of rotating fluids (76U05) Normal forms for dynamical systems (37G05) Rotation in hydrodynamic stability (76E07) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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Uses Software

• ARPACK

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