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| Título: | Conditions implying Annular Chaos : quantitative results and Computer Assisted Proofs |
| Autor: | Capiński, Maciej J. Gröger, Maik Passeggi, Alejandro Tal, Fabio |
| Tipo: | Preprint |
| Descriptores: | DYNAMICAL SYSTEMS, TOPOLOGICAL ENTROPY |
| Fecha de publicación: | 2025 |
| Resumen: | We derive quantitative sufficient conditions for rotational chaos and diffusion in annular homeomorphisms, building on the topological criteria established in [31]. These conditions depend only on basic properties of the maps, making their implementation straightforward. To demonstrate the effectiveness of the method, we provide computer-assisted proofs of rotational chaos and diffusion for classical families of annular maps and their variations, in both conservative (twist and non-twist) and dissipative settings. |
| Editorial: | arXiv |
| EN: | Mathematics (Dynamical Systems), arXiv:2506.06608, jun 2025, pp. 1-38 |
| Citación: | Passeggi, A y [otros autores]. "Conditions implying Annular Chaos : quantitative results and Computer Assisted Proofs" [Preprint]. Publicado en: Mathematics (Dynamical Systems). 2025, arXiv: 2506.06608, jun 2025, pp. 1-38. 38 h. DOI: 10.48550/arXiv.2506.06608 |
| Licencia: | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| Aparece en las colecciones: | Publicaciones académicas y científicas - Facultad de Ciencias |
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|---|---|---|---|---|---|
| 2412.09519v2.pdf | 368,25 kB | Adobe PDF | Visualizar/Abrir |
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