Effects due to induced azimuthal eddy currents in a self-exciting Faraday disk homopolar dynamo with a nonlinear series motor. I: Two special cases

DOI10.1016/S0167-2789(99)00107-4zbMath0949.76095WikidataQ127472888 ScholiaQ127472888MaRDI QIDQ1808359

Raymond Hide, Irene M. Moroz

Publication date: 6 December 1999

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

zbMATH Keywords

stabilitybifurcation analysiscoil arrangementFaraday diskflux variablesnonlinear quenchingself-exciting homopolar dynamo model

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Magnetohydrodynamics and electrohydrodynamics (76W05) Geo-electricity and geomagnetism (86A25)

Related Items (7)

The extended Malkus-Robbins dynamo as a perturbed Lorenz system ⋮ The Hide, Skeldon, Acheson dynamo revisited ⋮ 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 THE BEHAVIOR OF A SELF-EXCITING FARADAY DISK HOMOPOLAR DYNAMO WITH A VARIABLE NONLINEAR SERIES MOTOR ⋮ Nonlinear feedback and coupling in self-exciting dynamos ⋮ Chaotic behaviour in low-order models of planetary and stellar dynamos ⋮ Unstable periodic orbits in a four-dimensional Faraday disk dynamo

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The bootstrap and Lyapunov exponents in deterministic chaos
• Effects due to induced azimuthal eddy currents in a self-exciting Faraday disk homopolar dynamo with a nonlinear series motor. I: Two special cases
• The Lorenz equations: bifurcations, chaos, and strange attractors
• On self-exciting coupled Faraday disk homopolar dynamos driving series motors
• A study of two novel self-exciting single-disk homopolar dynamos: theory
• A self-consistent treatment of simple dynamo systems
• Chaotic behaviour of the Rikitake dynamo with symmetric mechanical friction and azimuthal currents

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