Piecewise continuous and monotonic maps on the interval
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911565550190592 |
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| author | Cunha, Kleyber Gouveia, Marcio Santana, Paulo |
| author_facet | Cunha, Kleyber Gouveia, Marcio Santana, Paulo |
| contents | Let $f$ be a piecewise continuous and monotonic map on the interval with at most finitely many discontinuities and turning points. In this paper we study properties about this class of maps and show its main difference from the continuous case. We define and study the notion of closed structure, which can be seen as an generalization of periodic orbit. We also study the periodic orbits that are away from the discontinuities of $f$, extending the notion of trapped and free orbits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_04452 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Piecewise continuous and monotonic maps on the interval Cunha, Kleyber Gouveia, Marcio Santana, Paulo Dynamical Systems Let $f$ be a piecewise continuous and monotonic map on the interval with at most finitely many discontinuities and turning points. In this paper we study properties about this class of maps and show its main difference from the continuous case. We define and study the notion of closed structure, which can be seen as an generalization of periodic orbit. We also study the periodic orbits that are away from the discontinuities of $f$, extending the notion of trapped and free orbits. |
| title | Piecewise continuous and monotonic maps on the interval |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2405.04452 |