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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.05188 |
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| _version_ | 1866917249225326592 |
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| author | Tsujii, Masato |
| author_facet | Tsujii, Masato |
| contents | We construct non-stationary normal coordinates in a neighborhood of Pesin stable manifolds \cite{Pesin}. This construction is a natural extension, via jets in the normal directions, of the non-stationary normal coordinates on stable manifolds introduced by Guysinsky and Katok. We emphasize that this extension provides a useful framework for describing the fractal geometric structures of stable and unstable foliations in smooth dynamical systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_05188 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Non-stationary normal coordinates on neighborhoods of Pesin stable manifolds Tsujii, Masato Dynamical Systems 37D25 We construct non-stationary normal coordinates in a neighborhood of Pesin stable manifolds \cite{Pesin}. This construction is a natural extension, via jets in the normal directions, of the non-stationary normal coordinates on stable manifolds introduced by Guysinsky and Katok. We emphasize that this extension provides a useful framework for describing the fractal geometric structures of stable and unstable foliations in smooth dynamical systems. |
| title | Non-stationary normal coordinates on neighborhoods of Pesin stable manifolds |
| topic | Dynamical Systems 37D25 |
| url | https://arxiv.org/abs/2602.05188 |