The Stability of Pointwise Hyperbolic Systems
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909506549579776 |
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| author | Guo, Haiye Zhou, Yunhua |
| author_facet | Guo, Haiye Zhou, Yunhua |
| contents | The stability of the system is an important part of the research on differential dynamical systems. This paper considers a pointwise hyperbolic system defined on a connected open subset N of a compact smooth Riemannian manifold M. The hyperbolicity may weaken when approaching the boundary of the open set. By analogy with the stability of hyperbolic systems, this paper constructs the expansive property and the shadowing lemma on the pointwise pseudo orbits and thus obtains the stability of pointwise hyperbolic systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_16497 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Stability of Pointwise Hyperbolic Systems Guo, Haiye Zhou, Yunhua Dynamical Systems The stability of the system is an important part of the research on differential dynamical systems. This paper considers a pointwise hyperbolic system defined on a connected open subset N of a compact smooth Riemannian manifold M. The hyperbolicity may weaken when approaching the boundary of the open set. By analogy with the stability of hyperbolic systems, this paper constructs the expansive property and the shadowing lemma on the pointwise pseudo orbits and thus obtains the stability of pointwise hyperbolic systems. |
| title | The Stability of Pointwise Hyperbolic Systems |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2502.16497 |