Nonlinear dynamos: A complex generalization of the Lorenz equations

DOI10.1016/0167-2789(85)90176-9zbMath0579.76051OpenAlexW2052630966MaRDI QIDQ1067525

C. A. Jones, Fausto Cattaneo, Nigel Weiss

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0167-2789(85)90176-9

zbMATH Keywords

Hopf bifurcationshomoclinic orbittransition to chaosfrequency lockingperiod-doublingstability parametercomplex generalization of the Lorenz systemdynamo numbermagnetic activity in starsmotion on two-torusPlane nonlinear dynamo waves

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Magnetohydrodynamics and electrohydrodynamics (76W05) Turbulence (76F99) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30) Basic methods in fluid mechanics (76M99)

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