Topological properties of Lorenz maps derived from unimodal maps

Autor(es)

Anusic, Ana ; Bruin, Henk ; Cinc, Jernej

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS; v. 26, n. 8, p. 18-pg., 2020-04-30.

Resumo

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)

• Processo FAPESP: 18/17585-5 - Esturtura topologica dos atratores de Lozi
• Beneficiário: Ana Anusic
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado