Non-linear quenching of current fluctuations in a self-exciting homopolar dynamo, proved by feedback system theory

A. M. de Paor (1)

1 Department of Electronic and Electrical Engineering

Hide (Nonlinear Processes in Geophysics, 1998) has produced a new mathematical model of a self-exciting homopolar dynamo driving a series- wound motor, as a continuing contribution to the theory of the geomagnetic field. By a process of exact perturbation analysis, followed by combination and partial solution of differential equations, the complete nonlinear quenching of current fluctuations reported by Hide in the case that a parameter ? has the value 1 is proved via the Popov theorem from feedback system stability theory.

Domaines: Cosmologie et astrophysique extra-galactique [astro-ph.CO]; Astrophysique [astro-ph]; Sciences de la Terre

A. M. de Paor. Non-linear quenching of current fluctuations in a self-exciting homopolar dynamo, proved by feedback system theory. Nonlinear Processes in Geophysics, 1998, 5 (2), pp.75-80. ⟨hal-00301889⟩