| Volumes and Issues Contents of Issue 2 |
www.nonlin-processes-geophys.net/5/75/1998/
doi:10.5194/npg-5-75-1998
© Author(s) 1998. This work is licensed
under a Creative Commons License.
Non-linear quenching of current fluctuations in a self-exciting homopolar dynamo, proved by feedback system theory
Department of Electronic and Electrical Engineering, National University of Ireland, Dublin, Belfield, Dublin 4, Ireland
Abstract. 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 ε has the value 1 is proved via the Popov theorem from feedback system stability theory.
Full Article (PDF, 253 KB)
Citation: de Paor, A. M.: Non-linear quenching of current fluctuations in a self-exciting homopolar dynamo, proved by feedback system theory, Nonlin. Processes Geophys., 5, 75-80, doi:10.5194/npg-5-75-1998, 1998. Bibtex EndNote Reference Manager XML
