Historic and physical wandering domains for wild blender-horseshoes
Abstract
We present diffeomorphisms of wild blender-horseshoes which belong to Cr (1≤ r<∞) 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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