Advected fields in maps. I: Magnetic flux growth in the stretch-fold-shear map

DOI10.1016/S0167-2789(02)00444-XzbMath1059.76078WikidataQ57943679 ScholiaQ57943679MaRDI QIDQ1599050

Andrew D. Gilbert

Publication date: 4 June 2002

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

zbMATH Keywords

kinematic dynamohyperbolic map

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Magnetohydrodynamics and electrohydrodynamics (76W05) Electromagnetic theory (general) (78A25) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30)

Related Items (6)

Inertial manifolds and completeness of eigenmodes for unsteady magnetic dynamos ⋮ Strange eigenmodes and decay of variance in the mixing of diffusive tracers ⋮ A computer-assisted proof of dynamo growth in the stretch-fold-shear map ⋮ Fixed points of composition sum operators ⋮ Advected fields in maps—III. Passive scalar decay in baker's maps ⋮ Advected fields in maps: II. Dynamo action in the stretch–fold–shear map

Cites Work

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• The Magnetic Field of Sunspots
• Stretch, Twist, Fold: The Fast Dynamo

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