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Topological properties of Lorenz maps derived from unimodal maps

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Author(s):
Anusic, Ana ; Bruin, Henk ; Cinc, Jernej
Total Authors: 3
Document type: Journal article
Source: JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS; v. 26, n. 8, p. 18-pg., 2020-04-30.
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. (AU)

FAPESP's process: 18/17585-5 - Topological structure of Lozi attractors
Grantee:Ana Anusic
Support Opportunities: Scholarships in Brazil - Post-Doctoral