Historic and physical wandering domains for wild blender-horseshoes
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866910397450158080 |
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| author | Kiriki, Shin Nakano, Yushi Soma, Teruhiko |
| author_facet | Kiriki, Shin Nakano, Yushi Soma, Teruhiko |
| contents | We present diffeomorphisms of wild blender-horseshoes which belong to $C^r$ $(1\leq r<\infty)$ closures of two types of diffeomorphisms, one of which has a historic contracting wandering domain, and the other has a non-trivial Dirac physical measure supported by saddle periodic orbit. It is a non-trivial extension of Colli-Vargas' model [CV01] to the higher dimensional dynamics with the use of wild blender-horseshoes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_09844 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Historic and physical wandering domains for wild blender-horseshoes Kiriki, Shin Nakano, Yushi Soma, Teruhiko Dynamical Systems 37C29, 37C40, 37C20 We present diffeomorphisms of wild blender-horseshoes which belong to $C^r$ $(1\leq r<\infty)$ closures of two types of diffeomorphisms, one of which has a historic contracting wandering domain, and the other has a non-trivial Dirac physical measure supported by saddle periodic orbit. It is a non-trivial extension of Colli-Vargas' model [CV01] to the higher dimensional dynamics with the use of wild blender-horseshoes. |
| title | Historic and physical wandering domains for wild blender-horseshoes |
| topic | Dynamical Systems 37C29, 37C40, 37C20 |
| url | https://arxiv.org/abs/2107.09844 |