On the attractors of Feigenbaum maps (Q2872673)

The authors study a class of non-unimodal Feigenbaum maps. They show that their likely limit sets (i.e., maximal attractors in the sense of Milnor) are minimal sets and estimate their Hausdorff dimensions. Moreover, they prove that for every \(s \in (0,1)\) there is a non-unimodal Feigenbaum map whose likely limit set has Hausdorff dimension \(s\). Similar results for unimodal Feigenbaum maps were obtained by the authors in a joint paper with \textit{G. F. Liao} [Int. J. Mod. Phys. B 23, No. 14, 3101--3111 (2009; Zbl 1170.37309)].