Exponential map of germs of vector fields
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908349782556672 |
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| author | Kaptsov, Oleg |
| author_facet | Kaptsov, Oleg |
| contents | In this paper we introduce an exponential map of the algebra of germs of vector fields into the group of germs of diffeomorphisms at zero. It is shown that this mapping is not a bijection. A brief review of the key results of the analytic iteration problem is given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_02117 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exponential map of germs of vector fields Kaptsov, Oleg Dynamical Systems Group Theory Chaotic Dynamics In this paper we introduce an exponential map of the algebra of germs of vector fields into the group of germs of diffeomorphisms at zero. It is shown that this mapping is not a bijection. A brief review of the key results of the analytic iteration problem is given. |
| title | Exponential map of germs of vector fields |
| topic | Dynamical Systems Group Theory Chaotic Dynamics |
| url | https://arxiv.org/abs/2505.02117 |