Darboux integrability and algebraic invariant surfaces for the Rikitake system
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Publication:3544664
DOI10.1063/1.2897983zbMath1153.81395OpenAlexW2052746052MaRDI QIDQ3544664
Publication date: 8 December 2008
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.2897983
Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05) Dynamics induced by flows and semiflows (37C10) Geo-electricity and geomagnetism (86A25) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)
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Cites Work
- Unnamed Item
- Multiplicity of invariant algebraic curves in polynomial vector fields
- 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
- Chaotic behaviour of the Rikitake dynamo with symmetric mechanical friction and azimuthal currents
- Algebraic structures and invariant manifolds of differential systems
- Invariant algebraic curves and conditions for a centre
- Singularity Structure of Third‐Order Dynamical Systems. I
- Singularity analysis for integrable systems by their mirrors
- A geometrical method towards first integrals for dynamical systems