On the attractors of Feigenbaum maps

Guifeng Huang, and Lidong Wang. "On the attractors of Feigenbaum maps." Annales Polonici Mathematici 110.1 (2014): 55-62. <http://eudml.org/doc/281113>.

@article{GuifengHuang2014,
abstract = {A solution of the Feigenbaum functional equation is called a Feigenbaum map. We investigate the likely limit set (i.e. the maximal attractor in the sense of Milnor) of a non-unimodal Feigenbaum map, prove that it is a minimal set that attracts almost all points, and then estimate its Hausdorff dimension. Finally, for every s ∈ (0,1), we construct a non-unimodal Feigenbaum map with a likely limit set whose Hausdorff dimension is s.},
author = {Guifeng Huang, Lidong Wang},
journal = {Annales Polonici Mathematici},
keywords = {Feigenbaum map; attractor; likely limit set; Hausdorff dimension},
language = {eng},
number = {1},
pages = {55-62},
title = {On the attractors of Feigenbaum maps},
url = {http://eudml.org/doc/281113},
volume = {110},
year = {2014},
}

TY - JOUR
AU - Guifeng Huang
AU - Lidong Wang
TI - On the attractors of Feigenbaum maps
JO - Annales Polonici Mathematici
PY - 2014
VL - 110
IS - 1
SP - 55
EP - 62
AB - A solution of the Feigenbaum functional equation is called a Feigenbaum map. We investigate the likely limit set (i.e. the maximal attractor in the sense of Milnor) of a non-unimodal Feigenbaum map, prove that it is a minimal set that attracts almost all points, and then estimate its Hausdorff dimension. Finally, for every s ∈ (0,1), we construct a non-unimodal Feigenbaum map with a likely limit set whose Hausdorff dimension is s.
LA - eng
KW - Feigenbaum map; attractor; likely limit set; Hausdorff dimension
UR - http://eudml.org/doc/281113
ER -