Low-dimensional dynamo modelling and symmetry-breaking bifurcations

DOI10.1016/j.physd.2006.08.022zbMath1330.76140OpenAlexW2076970629MaRDI QIDQ857182

Norbert Seehafer, Fred Feudel, Miguel A. F. Sanjuán, Reik V. Donner

Publication date: 14 December 2006

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2006.08.022

zbMATH Keywords

MHD equationsdynamo theorysymmetry-breaking bifurcationsalpha-effectoscillating waves

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Magnetohydrodynamics and electrohydrodynamics (76W05) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25)

Related Items (1)

Characterizing Flows by Complex Network Methods

Cites Work

• Zonal flow induced by longitudinal librations of a rotating cylindrical cavity
• Symmetry breaking Hopf bifurcations in equation with O(2) symmetry with application to the Kuramoto-Sivashinsky equation
• Common periodic behavior in larger and larger truncations of the Navier-Stokes equations.
• Oscillating waves arising from \(\text{O}(2)\) symmetry.
• Subharmonic Dynamo Action in the Roberts Flow
• Experimental demonstration of a homogeneous two-scale dynamo
• Numerical simulation of the onset of dynamo action in an experimental two-scale dynamo
• Fast dynamo action in a steady flow
• On dynamo action in a steady flow at large magnetic reynolds number
• Homogeneous Dynamos in Planetary Cores and in the Laboratory
• Deterministic Nonperiodic Flow
• A two-scale hydromagnetic dynamo experiment
• The α-chain-termination mutants and their relation to the α-thalassaemias
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