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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2018
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/1803.04800 |
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| _version_ | 1866910784280330240 |
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| author | Zung, Nguyen Tien |
| author_facet | Zung, Nguyen Tien |
| contents | In two previous papers we showed that any analytically integrable vector field admits a local analytic Poincaré-Birkhoff normalization in the neighborhood of a singular point. The aim of this paper is to extend this analytic normalization result to the case of rationally integrable systems, where the first integrals and commuting vector fields are not required to be analytic, but just rational (i.e., quotients of analytic functions or vector fields by analytic functions). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1803_04800 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Normalization of rationally integrable systems Zung, Nguyen Tien Dynamical Systems In two previous papers we showed that any analytically integrable vector field admits a local analytic Poincaré-Birkhoff normalization in the neighborhood of a singular point. The aim of this paper is to extend this analytic normalization result to the case of rationally integrable systems, where the first integrals and commuting vector fields are not required to be analytic, but just rational (i.e., quotients of analytic functions or vector fields by analytic functions). |
| title | Normalization of rationally integrable systems |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/1803.04800 |