Título:
Conditions implying Annular Chaos : quantitative results and Computer Assisted Proofs
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Autor:
Capiński, Maciej J.
Gröger, Maik
Passeggi, Alejandro
Tal, Fabio
Gröger, Maik
Passeggi, Alejandro
Tal, Fabio
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Tipo de documento:
Preprint
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Descriptores:
DYNAMICAL SYSTEMS
TOPOLOGICAL ENTROPY
TOPOLOGICAL ENTROPY
Año de publicación:
2025
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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.
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arXiv
EN:
Mathematics (Dynamical Systems), arXiv:2506.06608, jun 2025, pp. 1-38
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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
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Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
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| Ficheros | Descripción | Tamaño | Formato | ||
|---|---|---|---|---|---|
| 2412.09519v2.pdf | — | 368.25 KB | Adobe PDF |