On the attractors of Feigenbaum maps

• Autorzy: Guifeng Huang , Lidong Wang
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54H20: Topological dynamics
• 37B25: Lyapunov functions and stability; attractors, repellers

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2014
• Tom: 110
• Numer: 1
• Strony: 55-62

Daty

wydano

2014

Twórcy

autor

Guifeng Huang

• Department of Basic Science, Dalian Naval Academy, 116018 Dalian, Liaoning, China

autor

Lidong Wang

• Department of Mathematics, Dalian Nationalities University, 116600 Dalian, Liaoning, China

Identyfikatory

DOI

10.4064/ap110-1-5