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-tr...