The dynamics of the heterochaos baker maps
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913498994311168 |
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| author | Saiki, Yoshitaka Takahasi, Hiroki Yamamoto, Kenichiro Yorke, James A. |
| author_facet | Saiki, Yoshitaka Takahasi, Hiroki Yamamoto, Kenichiro Yorke, James A. |
| contents | The heterochaos baker maps are piecewise affine maps of the unit square or cube introduced in [Nonlinearity 34, 2021, 5744--5761], to provide a hands-on, elementary understanding of complicated phenomena in systems of large degrees of freedom. We review recent progress on a dynamical systems theory of the heterochaos baker maps, and present new results on properties of measures of maximal entropy and the underlying Lebesgue measure. We address several conjectures and questions that may illuminate new aspects of heterochaos and inspire future research. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00836 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The dynamics of the heterochaos baker maps Saiki, Yoshitaka Takahasi, Hiroki Yamamoto, Kenichiro Yorke, James A. Dynamical Systems Chaotic Dynamics The heterochaos baker maps are piecewise affine maps of the unit square or cube introduced in [Nonlinearity 34, 2021, 5744--5761], to provide a hands-on, elementary understanding of complicated phenomena in systems of large degrees of freedom. We review recent progress on a dynamical systems theory of the heterochaos baker maps, and present new results on properties of measures of maximal entropy and the underlying Lebesgue measure. We address several conjectures and questions that may illuminate new aspects of heterochaos and inspire future research. |
| title | The dynamics of the heterochaos baker maps |
| topic | Dynamical Systems Chaotic Dynamics |
| url | https://arxiv.org/abs/2401.00836 |