Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| author | Capiński, M. J. Gröger, M. Passeggi, A. Tal, F. A. |
| author_facet | Capiński, M. J. Gröger, M. Passeggi, A. Tal, F. A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_06608 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs Capiński, M. J. Gröger, M. Passeggi, A. Tal, F. A. Dynamical Systems 37E30, 37B40 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. |
| title | Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs |
| topic | Dynamical Systems 37E30, 37B40 |
| url | https://arxiv.org/abs/2506.06608 |