On self-exciting coupled Faraday disk homopolar dynamos driving series motors

DOI10.1016/S0167-2789(97)00305-9zbMath0973.78027WikidataQ57943702 ScholiaQ57943702MaRDI QIDQ1967252

Raymond Hide, Andrew M. Soward, Irene M. Moroz

Publication date: 9 December 2001

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

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Magnetohydrodynamics and electrohydrodynamics (76W05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) General topics in optics and electromagnetic theory (78A99)

Related Items (18)

On integrability of the segmented disc dynamo: the effect of mechanical friction ⋮ Analytical integrability of the Rikitake system ⋮ Explicit transversality conditions and local bifurcation diagrams for bogdanov-Takens bifurcation on center manifolds ⋮ Integrability of the Hide-Skeldon-Acheson dynamo ⋮ Hidden hyperchaos and electronic circuit application in a 5D self-exciting homopolar disc dynamo ⋮ Detecting Hidden Chaotic Regions and Complex Dynamics in the Self-Exciting Homopolar Disc Dynamo ⋮ Bifurcation analysis of two disc dynamos with viscous friction and multiple time delays ⋮ The extended Malkus-Robbins dynamo as a perturbed Lorenz system ⋮ The Hide, Skeldon, Acheson dynamo revisited ⋮ Synchronized Chaos in Coupled Double Disk Homopolar Dynamos ⋮ Global dynamics of the Rikitake system ⋮ Effects due to induced azimuthal eddy currents in a self-exciting Faraday disk homopolar dynamo with a nonlinear series motor. I: Two special cases ⋮ Differential Galois integrability obstructions for nonlinear three-dimensional differential systems ⋮ PRACTICAL COMPUTATION OF NORMAL FORMS ON CENTER MANIFOLDS AT DEGENERATE BOGDANOV–TAKENS BIFURCATIONS ⋮ Integrable deformations, bi-Hamiltonian structures and nonintegrability of a generalized Rikitake system ⋮ 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

• Nonlinear dynamos: A complex generalization of the Lorenz equations
• On a codimension-three bifurcation arising in a simple dynamo model
• A study of two novel self-exciting single-disk homopolar dynamos: theory
• Periodic and aperiodic dynamo waves
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