On the Behavior of a Self-Exciting Faraday Disk homopolar dynamo with a Variable Nonlinear Series Motor.

Journal article

In this paper we seek to bridge the gap between the study of a self-exciting Faraday disk homopolar dynamo with a linear series motor [Hide et al., 1996] and the case when the torque acting on the armature of the motor is proportional to the square of the current flowing through the dynamo [Hide, 1998]. We also focus on the issue of when the nonlinear quenching of oscillatory solutions can occur. The present study is a special case of the more general problem when azimuthal eddy currents are permitted to flow [Moroz and Hide, 2000] and shares with that problem the existence of multiple steady states and Hopf bifurcations. This results in distinct double-zero bifurcations for the trivial and the nontrivial equilibrium states as well as other codimension-two bifurcations, which leads to the suppression of oscillatory solutions.

Authors: Moroz, I

• Publication status: Published
• Journal: I. J. Bifurcation and Chaos
• Volume: 12
• Issue: 10
• Pages: 2123-2135
• Publication date: 2002-01-01
• DOI: 10.1142/S0218127402005728
• EISSN: 1793-6551
• ISSN: 0218-1274
• Language: English
• Keywords: bifurcations; dynamos