Existence of attracting invariant 2-curves in fibred quadratic dynamics
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914795745181696 |
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| author | Domínguez, Igsyl |
| author_facet | Domínguez, Igsyl |
| contents | We present a construction of new invariant sets for fibred polynomial dynamics with base an irrational rotation over the unit circle, called multi-curves. Furthermore, the local dynamical theory for attracting invariant curves is extended to these objects. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08236 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Existence of attracting invariant 2-curves in fibred quadratic dynamics Domínguez, Igsyl Dynamical Systems We present a construction of new invariant sets for fibred polynomial dynamics with base an irrational rotation over the unit circle, called multi-curves. Furthermore, the local dynamical theory for attracting invariant curves is extended to these objects. |
| title | Existence of attracting invariant 2-curves in fibred quadratic dynamics |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2405.08236 |