References & Citations
Mathematics > Dynamical Systems
Title: Historic and physical wandering domains for wild blender-horseshoes
(Submitted on 21 Jul 2021 (v1), last revised 13 Jun 2022 (this version, v2))
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.
Submission history
From: Shin Kiriki [view email][v1] Wed, 21 Jul 2021 02:31:43 GMT (2525kb)
[v2] Mon, 13 Jun 2022 03:08:24 GMT (2621kb)
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