Unstable periodic orbits in a four-dimensional Faraday disk dynamo
In this article, we return to a four-dimensional model for a self-exciting Faraday disk dynamo, originally investigated by Hide and Moroz [Hide, R. and Moroz, I.M., Effects due to induced azimuthal eddy currents in the self-exciting Faraday disk homopolar dynamo with a nonlinear series motor: I two...
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| Format: | Journal article |
| Language: | English |
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2011
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| _version_ | 1797059755881005056 |
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| author | Moroz, I |
| author_facet | Moroz, I |
| author_sort | Moroz, I |
| collection | OXFORD |
| description | In this article, we return to a four-dimensional model for a self-exciting Faraday disk dynamo, originally investigated by Hide and Moroz [Hide, R. and Moroz, I.M., Effects due to induced azimuthal eddy currents in the self-exciting Faraday disk homopolar dynamo with a nonlinear series motor: I two special cases. Physica D 1999, 134, 387-301]. We extract unstable periodic orbits from long time series of chaotic trajectories by the method of close returns to a Poincaré section. We then employ recently developed topological tools to characterise the underlying chaotic attractor of the dynamo by identifying its branched manifold or template. © 2011 Taylor and Francis. |
| first_indexed | 2024-03-06T20:08:45Z |
| format | Journal article |
| id | oxford-uuid:29d0b234-9517-474f-ac60-4e6b2970ba4b |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:08:45Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | oxford-uuid:29d0b234-9517-474f-ac60-4e6b2970ba4b2022-03-26T12:21:25ZUnstable periodic orbits in a four-dimensional Faraday disk dynamoJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:29d0b234-9517-474f-ac60-4e6b2970ba4bEnglishSymplectic Elements at Oxford2011Moroz, IIn this article, we return to a four-dimensional model for a self-exciting Faraday disk dynamo, originally investigated by Hide and Moroz [Hide, R. and Moroz, I.M., Effects due to induced azimuthal eddy currents in the self-exciting Faraday disk homopolar dynamo with a nonlinear series motor: I two special cases. Physica D 1999, 134, 387-301]. We extract unstable periodic orbits from long time series of chaotic trajectories by the method of close returns to a Poincaré section. We then employ recently developed topological tools to characterise the underlying chaotic attractor of the dynamo by identifying its branched manifold or template. © 2011 Taylor and Francis. |
| spellingShingle | Moroz, I Unstable periodic orbits in a four-dimensional Faraday disk dynamo |
| title | Unstable periodic orbits in a four-dimensional Faraday disk dynamo |
| title_full | Unstable periodic orbits in a four-dimensional Faraday disk dynamo |
| title_fullStr | Unstable periodic orbits in a four-dimensional Faraday disk dynamo |
| title_full_unstemmed | Unstable periodic orbits in a four-dimensional Faraday disk dynamo |
| title_short | Unstable periodic orbits in a four-dimensional Faraday disk dynamo |
| title_sort | unstable periodic orbits in a four dimensional faraday disk dynamo |
| work_keys_str_mv | AT morozi unstableperiodicorbitsinafourdimensionalfaradaydiskdynamo |