Bi-shadowing of Quasi-semi-hyperbolic Pseudo-orbit
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910088175812608 |
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| author | He, Yan Jin, Meihua |
| author_facet | He, Yan Jin, Meihua |
| contents | In this paper, we introduce the concept of quasi-semi hyperbolic pseudo-orbits and prove that quasi-semi hyperbolicity implies quasi hyperbolicity provided the error magnitude are sufficiently small. We also have successively demonstrated that both finite quasi-hyperbolic pseudo-orbits and infinite quasi-semi hyperbolic pseudo-orbits possess the bi-shadowing property, and thus we establish the periodicity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_29190 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Bi-shadowing of Quasi-semi-hyperbolic Pseudo-orbit He, Yan Jin, Meihua Dynamical Systems In this paper, we introduce the concept of quasi-semi hyperbolic pseudo-orbits and prove that quasi-semi hyperbolicity implies quasi hyperbolicity provided the error magnitude are sufficiently small. We also have successively demonstrated that both finite quasi-hyperbolic pseudo-orbits and infinite quasi-semi hyperbolic pseudo-orbits possess the bi-shadowing property, and thus we establish the periodicity. |
| title | Bi-shadowing of Quasi-semi-hyperbolic Pseudo-orbit |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2603.29190 |