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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.17036 |
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| _version_ | 1866909779915440128 |
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| author | Bagayoko, Vincent |
| author_facet | Bagayoko, Vincent |
| contents | We study conjugacy of formal derivations on fields of generalised power series in characteristic 0. Casting the problem of Poincaré resonance in terms of asymptotic differential algebra, we give conditions for conjugacy of parabolic flat log-exp transseries, flat grid-based transseries, logarithmic transseries, power series with exponents and coefficients in an ordered field, and formal Puiseux series. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_17036 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Formal conjugacy and asymptotic differential algebra Bagayoko, Vincent Dynamical Systems Logic Rings and Algebras We study conjugacy of formal derivations on fields of generalised power series in characteristic 0. Casting the problem of Poincaré resonance in terms of asymptotic differential algebra, we give conditions for conjugacy of parabolic flat log-exp transseries, flat grid-based transseries, logarithmic transseries, power series with exponents and coefficients in an ordered field, and formal Puiseux series. |
| title | Formal conjugacy and asymptotic differential algebra |
| topic | Dynamical Systems Logic Rings and Algebras |
| url | https://arxiv.org/abs/2409.17036 |