It is proved that a smooth unimodal interval map with critical order 2 + ε has no wild attractor if ε >0 is small.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm192-1-5, author = {Simin Li and Weixiao Shen}, title = {On unimodal maps with critical order 2 + $\epsilon$}, journal = {Fundamenta Mathematicae}, volume = {189}, year = {2006}, pages = {77-86}, zbl = {1170.37317}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm192-1-5} }
Simin Li; Weixiao Shen. On unimodal maps with critical order 2 + ε. Fundamenta Mathematicae, Tome 189 (2006) pp. 77-86. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm192-1-5/