On the stability of the equilibria of the Rikitake system

DOI10.1016/j.physleta.2010.08.062zbMath1238.86004OpenAlexW2013121402MaRDI QIDQ418526

Fabio Scalco Dias, Luis Fernando Mello, Denis de Carvalho Braga

Publication date: 29 May 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2010.08.062

zbMATH Keywords

stabilityLyapunov coefficientRikitake system

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Stability theory of functional-differential equations (34K20) Complex behavior and chaotic systems of ordinary differential equations (34C28) Geo-electricity and geomagnetism (86A25)

Related Items (1)

Hyperchaotic oscillation in the deformed Rikitake two-disc dynamo system induced by memory effect

Cites Work

• Global dynamics of the Rikitake system
• Elements of applied bifurcation theory.
• Bifurcation analysis of the Watt governor system
• Invariant algebraic surfaces of the Rikitake system
• Rikitake system: analytic and Darbouxian integrals
• Unnamed Item

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