On the Behavior of a Self-Exciting Faraday Disk homopolar dynamo with a Variable Nonlinear Series Motor.
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, 19...
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| Format: | Journal article |
| Language: | English |
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2002
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| _version_ | 1797072270333575168 |
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| author | Moroz, I |
| author_facet | Moroz, I |
| author_sort | Moroz, I |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T23:05:20Z |
| format | Journal article |
| id | oxford-uuid:639410b7-49c3-46bc-a8e6-4faa15707a32 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T23:05:20Z |
| publishDate | 2002 |
| record_format | dspace |
| spelling | oxford-uuid:639410b7-49c3-46bc-a8e6-4faa15707a322022-03-26T18:13:53ZOn the Behavior of a Self-Exciting Faraday Disk homopolar dynamo with a Variable Nonlinear Series Motor.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:639410b7-49c3-46bc-a8e6-4faa15707a32EnglishSymplectic Elements at Oxford2002Moroz, IIn 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. |
| spellingShingle | Moroz, I On the Behavior of a Self-Exciting Faraday Disk homopolar dynamo with a Variable Nonlinear Series Motor. |
| title | On the Behavior of a Self-Exciting Faraday Disk homopolar dynamo with a Variable Nonlinear Series Motor. |
| title_full | On the Behavior of a Self-Exciting Faraday Disk homopolar dynamo with a Variable Nonlinear Series Motor. |
| title_fullStr | On the Behavior of a Self-Exciting Faraday Disk homopolar dynamo with a Variable Nonlinear Series Motor. |
| title_full_unstemmed | On the Behavior of a Self-Exciting Faraday Disk homopolar dynamo with a Variable Nonlinear Series Motor. |
| title_short | On the Behavior of a Self-Exciting Faraday Disk homopolar dynamo with a Variable Nonlinear Series Motor. |
| title_sort | on the behavior of a self exciting faraday disk homopolar dynamo with a variable nonlinear series motor |
| work_keys_str_mv | AT morozi onthebehaviorofaselfexcitingfaradaydiskhomopolardynamowithavariablenonlinearseriesmotor |