On exponentially accurate approximation of a near the identity map by an autonomous flow
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909377995210752 |
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| author | Gelfreich, V. Vieiro, A. |
| author_facet | Gelfreich, V. Vieiro, A. |
| contents | This paper contains a proof of a refined version of Neishtadt's theorem which states that an analytic near-identity map can be approximated by the time-one map of an autonomous flow with exponential accuracy. We provide explicit expressions for the vector fields and give explicit bounds for the error terms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_03188 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On exponentially accurate approximation of a near the identity map by an autonomous flow Gelfreich, V. Vieiro, A. Dynamical Systems 34C29 This paper contains a proof of a refined version of Neishtadt's theorem which states that an analytic near-identity map can be approximated by the time-one map of an autonomous flow with exponential accuracy. We provide explicit expressions for the vector fields and give explicit bounds for the error terms. |
| title | On exponentially accurate approximation of a near the identity map by an autonomous flow |
| topic | Dynamical Systems 34C29 |
| url | https://arxiv.org/abs/2411.03188 |