A brief history of Kovalevskaya exponents and modern developments
The Kovalevskaya exponents are sets of exponents that can be associated with a given nonlinear vector field. They correspond to the Fuchs' indices of the linearized vector field around particular scale invariant solutions. They were used by S. Kovalevskaya to prove the single-valuedness of the...
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| Format: | Journal article |
| Language: | English |
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2000
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| _version_ | 1797051194030424064 |
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| author | Goriely, A |
| author_facet | Goriely, A |
| author_sort | Goriely, A |
| collection | OXFORD |
| description | The Kovalevskaya exponents are sets of exponents that can be associated with a given nonlinear vector field. They correspond to the Fuchs' indices of the linearized vector field around particular scale invariant solutions. They were used by S. Kovalevskaya to prove the single-valuedness of the classical cases of integrability of the rigid body motion. In this paper, a history of the discovery and multiple re-discoveries of the Kovalevskaya exponents is given together with the modern use of Kovalevskaya exponents in integrability theory and nonlinear dynamics. © Regular and Chaotic Dynamics. |
| first_indexed | 2024-03-06T18:16:27Z |
| format | Journal article |
| id | oxford-uuid:04c7d1cb-46af-42dc-9623-9d6af110f046 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T18:16:27Z |
| publishDate | 2000 |
| record_format | dspace |
| spelling | oxford-uuid:04c7d1cb-46af-42dc-9623-9d6af110f0462022-03-26T08:53:35ZA brief history of Kovalevskaya exponents and modern developmentsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:04c7d1cb-46af-42dc-9623-9d6af110f046EnglishSymplectic Elements at Oxford2000Goriely, AThe Kovalevskaya exponents are sets of exponents that can be associated with a given nonlinear vector field. They correspond to the Fuchs' indices of the linearized vector field around particular scale invariant solutions. They were used by S. Kovalevskaya to prove the single-valuedness of the classical cases of integrability of the rigid body motion. In this paper, a history of the discovery and multiple re-discoveries of the Kovalevskaya exponents is given together with the modern use of Kovalevskaya exponents in integrability theory and nonlinear dynamics. © Regular and Chaotic Dynamics. |
| spellingShingle | Goriely, A A brief history of Kovalevskaya exponents and modern developments |
| title | A brief history of Kovalevskaya exponents and modern developments |
| title_full | A brief history of Kovalevskaya exponents and modern developments |
| title_fullStr | A brief history of Kovalevskaya exponents and modern developments |
| title_full_unstemmed | A brief history of Kovalevskaya exponents and modern developments |
| title_short | A brief history of Kovalevskaya exponents and modern developments |
| title_sort | brief history of kovalevskaya exponents and modern developments |
| work_keys_str_mv | AT gorielya abriefhistoryofkovalevskayaexponentsandmoderndevelopments AT gorielya briefhistoryofkovalevskayaexponentsandmoderndevelopments |