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| Main Author: | |
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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2003.01659 |
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| _version_ | 1866911742560305152 |
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| author | Zander, René |
| author_facet | Zander, René |
| contents | We discuss the singularity structure of Kahan discretizations of a class of quadratric vector fields and provide a classification of the parameter values such that the corresponding Kahan map is integrable, in particular, admits an invariant pencil of elliptic curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2003_01659 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | On the singularity structure of Kahan discretizations of a class of quadratic vector fields Zander, René Exactly Solvable and Integrable Systems Mathematical Physics We discuss the singularity structure of Kahan discretizations of a class of quadratric vector fields and provide a classification of the parameter values such that the corresponding Kahan map is integrable, in particular, admits an invariant pencil of elliptic curves. |
| title | On the singularity structure of Kahan discretizations of a class of quadratic vector fields |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics |
| url | https://arxiv.org/abs/2003.01659 |