A Hamiltonian look at the Rikitake two-disk dynamo system

DOI10.1016/j.nonrwa.2009.10.012zbMath1200.37048OpenAlexW2037509224MaRDI QIDQ984578

Răzvan M. Tudoran, Anania Gîrban

Publication date: 20 July 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.10.012

zbMATH Keywords

periodic orbitsHamiltonian dynamicsstability of equilibriaRikitake dynamo system

Mathematics Subject Classification ID

Related Items (4)

Hyperchaotic oscillation in the deformed Rikitake two-disc dynamo system induced by memory effect ⋮ On asymptotically stabilizing the Rikitake two-disk dynamo dynamics ⋮ Generalization of the separation of variables in the Jacobi identities for finite-dimensional Poisson systems ⋮ Integrable deformations, bi-Hamiltonian structures and nonintegrability of a generalized Rikitake system

Cites Work

• The Rikitake two-disk dynamo system and domains with periodic orbits
• Invariant algebraic surfaces of the Rikitake system
• Invariant Manifolds and the Onset of Reversal in the Rikitake Two-Disk Dynamo
• Rikitake system: analytic and Darbouxian integrals
• KCC-theory and geometry of the Rikitake system
• Lectures on Mechanics
• Chaotic behaviour of the Rikitake dynamo with symmetric mechanical friction and azimuthal currents
• Algebraic structures and invariant manifolds of differential systems
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