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In this paper, we extend our previous template analysis of a self-exciting Faraday disc dynamo with a linear series motor to the case of a nonlinear series motor. This introduces two additional nonlinear symmetry-breaking terms into the governing dynamo equations. We investigate the consequences for...
| מחבר ראשי: | |
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| פורמט: | Journal article |
| יצא לאור: |
2012
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| _version_ | 1826265995859197952 |
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| author | Moroz, I |
| author_facet | Moroz, I |
| author_sort | Moroz, I |
| collection | OXFORD |
| description | In this paper, we extend our previous template analysis of a self-exciting Faraday disc dynamo with a linear series motor to the case of a nonlinear series motor. This introduces two additional nonlinear symmetry-breaking terms into the governing dynamo equations. We investigate the consequences for the identification of a possible template on which the unstable periodic orbits (UPOs) lie. By computing Gauss linking numbers between pairs of UPOs, we show that their values are not incompatible with those for a template for the Lorenz attractor for its classic parameter values. © 2011 The Royal Society. |
| first_indexed | 2024-03-06T20:32:16Z |
| format | Journal article |
| id | oxford-uuid:3170223b-a6df-46db-94d4-28d8c1a33b2f |
| institution | University of Oxford |
| last_indexed | 2024-03-06T20:32:16Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | oxford-uuid:3170223b-a6df-46db-94d4-28d8c1a33b2f2022-03-26T13:08:04ZHome PageJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:3170223b-a6df-46db-94d4-28d8c1a33b2fSymplectic Elements at Oxford2012Moroz, IIn this paper, we extend our previous template analysis of a self-exciting Faraday disc dynamo with a linear series motor to the case of a nonlinear series motor. This introduces two additional nonlinear symmetry-breaking terms into the governing dynamo equations. We investigate the consequences for the identification of a possible template on which the unstable periodic orbits (UPOs) lie. By computing Gauss linking numbers between pairs of UPOs, we show that their values are not incompatible with those for a template for the Lorenz attractor for its classic parameter values. © 2011 The Royal Society. |
| spellingShingle | Moroz, I Home Page |
| title | Home Page |
| title_full | Home Page |
| title_fullStr | Home Page |
| title_full_unstemmed | Home Page |
| title_short | Home Page |
| title_sort | home page |
| work_keys_str_mv | AT morozi homepage |