Dynamics near a class of nonhyperbolic fixed points
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915169972518912 |
|---|---|
| author | Jin, Meihua Meng, Shihao Zhou, Yunhua |
| author_facet | Jin, Meihua Meng, Shihao Zhou, Yunhua |
| contents | In this paper, we investigate some dynamical properties near a nonhyperbolic fixed point. Under some conditions on the higher nonlinear terms, we establish a stable manifold theorem and a degenerate Hartman theorem. Furthermore, the finite shadowing property also be discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_17151 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Dynamics near a class of nonhyperbolic fixed points Jin, Meihua Meng, Shihao Zhou, Yunhua Dynamical Systems In this paper, we investigate some dynamical properties near a nonhyperbolic fixed point. Under some conditions on the higher nonlinear terms, we establish a stable manifold theorem and a degenerate Hartman theorem. Furthermore, the finite shadowing property also be discussed. |
| title | Dynamics near a class of nonhyperbolic fixed points |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2502.17151 |