Singularity Structure and Chaotic Behavior of the Homopolar Disk Dynamo

DOI10.1002/sapm1995954345zbMath0842.34043OpenAlexW2229755490MaRDI QIDQ4868747

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Publication date: 7 March 1996

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1995954345

zbMATH Keywords

stabilityperiodic solutionschaosstrange attractorsLorenz systemcoexisting attractorsnonintegrabilitysystem of three first-order ordinary differential equationshomopolar disk dynamosingularity structure of the system in the complex domain

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45) Ordinary differential equations in the complex domain (34M99)

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Cites Work

• Periodic and chaotic solutions for a nonlinear system arising from a nuclear spin generator
• On the gluing and ungluing of strange attractors in the study of the Lorenz system
• New Treatment on Bifurcations of Periodic Solutions and Homoclinic Orbits at High r in the Lorenz Equations
• The Shunted Homopolar Dynamo-An Analytic Approach to a Poincaré Map
• Existence and stability of periodic solutions of a third-order non-linear autonomous system simulating immune response in animals
• Periodic Solutions and Bifurcation Structure at High R in the Lorenz Model
• Deterministic Nonperiodic Flow

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