On a Hamiltonian version of the Rikitake system. (English) Zbl 1159.70356

Summary: We describe some relevant dynamical and geometrical properties of the Rikitake dynamo system from the Poisson geometry point of view.


70H05 Hamilton’s equations
70H14 Stability problems for problems in Hamiltonian and Lagrangian mechanics
70K44 Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics
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