Periodic and aperiodic dynamo waves

DOI10.1080/03091928408219262zbMath0555.76091OpenAlexW1980095161WikidataQ114640533 ScholiaQ114640533MaRDI QIDQ3220268

C. A. Jones, Nigel Weiss, Fausto Cattaneo

Publication date: 1984

Published in: Geophysical & Astrophysical Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03091928408219262

zbMATH Keywords

Hopf bifurcationaperiodic magnetic cyclesMaunder minimanonlinear hydromagnetic dynamosnonlinear interaction between the magnetic field and the velocity shearoscillatory stellar dynamoParker's dynamo wavesseven coupled nonlinear differential equations

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Basic methods in fluid mechanics (76M99) Geo-electricity and geomagnetism (86A25)

Related Items (10)

On self-exciting coupled Faraday disk homopolar dynamos driving series motors ⋮ Dynamo theory for the interface between the convection zone and the radiative interior of a star: Part I model equations and exact solutions ⋮ Crisis-Induced Intermittency Due to Attractor-Widening in a Buoyancy-Driven Solar Dynamo ⋮ Stellar Dynamo Waves: Asymptotic Configurations ⋮ Chaotic Saddles in a Generalized Lorenz Model of Magnetoconvection ⋮ Theoretical and numerical models of geomagnetic field evolution. I ⋮ SOME ATTRACTORS IN THE EXTENDED COMPLEX LORENZ MODEL ⋮ Nonlinear dynamical modeling of solar cycles using dynamo formulation with turbulent magnetic helicity ⋮ Crisis and hyperchaos in a simplified model of magnetoconvection ⋮ Chaotic behaviour in low-order models of planetary and stellar dynamos

Cites Work

• The complex Lorenz equations
• Bifurcations in a model of magnetoconvection
• The Lorenz equations: bifurcations, chaos, and strange attractors
• Quantitative universality for a class of nonlinear transformations
• Roads to turbulence in dissipative dynamical systems
• Oscillatory and steady convection in a magnetic field
• A self-consistent treatment of simple dynamo systems
• Properties of a nonlinear solar dynamo model
• Numerical models of hydromagnetic dynamos
• A Model for Magnetohydrodynamic Convection Relevant to the Solar Dynamo Problem
• Periodic Solutions and Bifurcation Structure at High R in the Lorenz Model
• Deterministic Nonperiodic Flow
• Convective dynamos with intermediate and strong fields

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