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
On α-Limit Sets in Lorenz Maps
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DOI: 10.3390/e23091153
Abstract: The aim of this paper is to show that α-limit sets in Lorenz maps do not have to be completely invariant. This highlights unexpected dynamical behavior in these maps, showing gaps existing in the literature.… read more here.
Keywords: limit sets; sets lorenz; lorenz maps;