Advancing Chaos Theory: A Set-Valued Perspective on Multiple Mappings with Computational Detection Algorithms
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910621271851008 |
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| author | Alvarez, Illych Leon, Ivonne Peña, Ivy |
| author_facet | Alvarez, Illych Leon, Ivonne Peña, Ivy |
| contents | This study redefines the analysis of Devaney chaos in multiple mappings from a set-valued perspective and introduces new conditions to characterize their chaotic behavior. As an innovative advancement, we develop computational algorithms to detect and visualize chaotic features such as transitivity and sensitivity. These algorithms provide tools to explore complex dynamics in higher-dimensional systems, validating theoretical concepts and opening new research avenues in chaos theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_17936 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Advancing Chaos Theory: A Set-Valued Perspective on Multiple Mappings with Computational Detection Algorithms Alvarez, Illych Leon, Ivonne Peña, Ivy Chaotic Dynamics Functional Analysis This study redefines the analysis of Devaney chaos in multiple mappings from a set-valued perspective and introduces new conditions to characterize their chaotic behavior. As an innovative advancement, we develop computational algorithms to detect and visualize chaotic features such as transitivity and sensitivity. These algorithms provide tools to explore complex dynamics in higher-dimensional systems, validating theoretical concepts and opening new research avenues in chaos theory. |
| title | Advancing Chaos Theory: A Set-Valued Perspective on Multiple Mappings with Computational Detection Algorithms |
| topic | Chaotic Dynamics Functional Analysis |
| url | https://arxiv.org/abs/2409.17936 |