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Some aspects of Rikitake system of dynamical equations. (English) Zbl 1057.34041

A Rikitake system models the self-generation of the magnetic field of the earth by large current carrying eddies in the core. The authors obtain integrals of motion and analyze the stability of the Rikitake dynamical system. They also analyze the effects of a linear feedback control.

MSC:

34C60 Qualitative investigation and simulation of ordinary differential equation models
86A25 Geo-electricity and geomagnetism
34D20 Stability of solutions to ordinary differential equations
93B52 Feedback control
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