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arXiv · 2107.09844

Historic and physical wandering domains for wild blender-horseshoes

Shin Kiriki·Yushi Nakano·Teruhiko Soma
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Abstract

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.

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Shin Kiriki, Yushi Nakano, Teruhiko Soma. 2021-07-21. Historic and physical wandering domains for wild blender-horseshoes. https://doi.org/10.1088/1361-6544/acda74

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