Analytical integrability of the Rikitake system

DOI10.1007/S00033-009-0044-9zbMath1227.34003OpenAlexW2101381473MaRDI QIDQ638685

Jaume Llibre, Claudia Valls

Publication date: 13 September 2011

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-009-0044-9

zbMATH Keywords

integrabilityanalytic first integralsformal first integralsRikitake system

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (1)

Integrable deformations, bi-Hamiltonian structures and nonintegrability of a generalized Rikitake system

Cites Work

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• Darboux integrability and algebraic invariant surfaces for the Rikitake system
• Holonomie et intégrales premières
• Symétrie et forme normale des centres et foyers dégénérés
• A geometrical method towards first integrals for dynamical systems
• Reduction of Singularities of the Differential Equation Ady = Bdx

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