The local Hölder exponent for the entropy of real unimodal maps
Sign Up to like & getrecommendations! Published in 2017 at "Science China Mathematics"
DOI: 10.1007/s11425-017-9293-7
Abstract: We consider the topological entropy h(θ) of real unimodal maps as a function of the kneading parameter θ (equivalently, as a function of the external angle in the Mandelbrot set). We prove that this function… read more here.
Keywords: lder exponent; real unimodal; unimodal maps; local lder ... See more keywords
Topological properties of Lorenz maps derived from unimodal maps
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2020.1760260
Abstract: A symmetric Lorenz map is obtained by ‘flipping’ one of the two branches of a symmetric unimodal map. We use this to derive a Sharkovsky-like theorem for symmetric Lorenz maps, and also to find cases… read more here.
Keywords: derived unimodal; properties lorenz; maps derived; unimodal maps ... See more keywords