Topological properties of Lorenz maps derived from unimodal maps

Ana Anusic, Henk Bruin (Korresp. Autor*in), Jernej Cinc

Veröffentlichungen: Beitrag in FachzeitschriftArtikelPeer Reviewed

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 where the unimodal map restricted to the critical omega-limit set is conjugate to a Sturmian shift. This has connections with properties of unimodal inverse limit spaces embedded as attractors of some planar homeomorphisms.
OriginalspracheEnglisch
Seiten (von - bis)1174-1191
Seitenumfang18
FachzeitschriftJournal of Difference Equations and Applications
Jahrgang26
Ausgabenummer8
DOIs
PublikationsstatusVeröffentlicht - 2 Aug. 2020

ÖFOS 2012

  • 101027 Dynamische Systeme

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