Invariant sets through resonant normal form for infinite dimensional holomorphic vector fields
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918188709576704 |
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| author | Massetti, Jessica Elisa Procesi, Michela Stolovitch, Laurent |
| author_facet | Massetti, Jessica Elisa Procesi, Michela Stolovitch, Laurent |
| contents | In this paper, we study infinite dimensional holomorphic vector fields on sequence spaces, having a fixed point at $0$. Under suitable hypotheses we prove the existence of analytic invariant submanifolds passing through the fixed point. The restricted dynamics is analytically conjugate to the linear one under some Diophantine-like condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_04379 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Invariant sets through resonant normal form for infinite dimensional holomorphic vector fields Massetti, Jessica Elisa Procesi, Michela Stolovitch, Laurent Dynamical Systems Analysis of PDEs 37G05, 37J40, 37K55 In this paper, we study infinite dimensional holomorphic vector fields on sequence spaces, having a fixed point at $0$. Under suitable hypotheses we prove the existence of analytic invariant submanifolds passing through the fixed point. The restricted dynamics is analytically conjugate to the linear one under some Diophantine-like condition. |
| title | Invariant sets through resonant normal form for infinite dimensional holomorphic vector fields |
| topic | Dynamical Systems Analysis of PDEs 37G05, 37J40, 37K55 |
| url | https://arxiv.org/abs/2511.04379 |