Historic wandering domains near cycles
نویسندگان
چکیده
Abstract We explain how to obtain non-trivial historic contractive wandering domains for a dense set of diffeomorphisms in certain type C r -Newhouse homoclinic tangencies dimension d ⩾ 3 and 1. In particular, this gives the first time contribution Takens’ last problem 1 topology > 2. show these Newhouse can be obtained arbitrarily close exhibiting heterodimensional cycles (in = 3) or non-transverse equidimensional any associated with periodic points non-real complex leading multipliers.
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2022
ISSN: ['0951-7715', '1361-6544']
DOI: https://doi.org/10.1088/1361-6544/ac6371