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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.

MSC:

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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