The Hide, Skeldon, Acheson dynamo revisited

DOI10.1098/rspa.2006.1758zbMath1127.86007OpenAlexW2159194846MaRDI QIDQ5438780

Irene M. Moroz

Publication date: 8 February 2008

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:1d218986-7b0b-4e3b-8670-6f1a3a14583a

zbMATH Keywords

bifurcationsunstable periodic orbitsdynamo models

Mathematics Subject Classification ID

Capillarity (surface tension) for incompressible viscous fluids (76D45) Technical applications of optics and electromagnetic theory (78A55) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Geo-electricity and geomagnetism (86A25)

Related Items (4)

Template analysis of a nonlinear dynamo ⋮ Integrability of the Hide-Skeldon-Acheson dynamo ⋮ New insights to the Hide-Skeldon-Acheson dynamo ⋮ Unstable periodic orbits in a four-dimensional Faraday disk dynamo

Cites Work

• Effects due to induced azimuthal eddy currents in a self-exciting Faraday disk homopolar dynamo with a nonlinear series motor. I: Two special cases
• On self-exciting coupled Faraday disk homopolar dynamos driving series motors
• The extended Malkus-Robbins dynamo as a perturbed Lorenz system
• A study of two novel self-exciting single-disk homopolar dynamos: theory
• Recycling of strange sets: I. Cycle expansions
• THE MALKUS–ROBBINS DYNAMO WITH A LINEAR SERIES MOTOR
• The Topology of Chaos
• ON THE BIASING EFFECT OF A BATTERY ON A SELF-EXCITING FARADAY DISK HOMOPOLAR DYNAMO LOADED WITH A LINEAR SERIES MOTOR
• SELF-EXCITING FARADAY DISK HOMOPOLAR DYNAMOS

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