| Texto completo | |
| Autor(es): |
Número total de Autores: 2
|
| Afiliação do(s) autor(es): | [1] IME USP, Dept Matemat Aplicada, Rua Matao 1010, Cidade Univ, BR-05508090 Sao Paulo - Brazil
[2] Rhodes Coll, 2000 North Pkwy, Memphis, TN 38112 - USA
Número total de Afiliações: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | FUNDAMENTA MATHEMATICAE; DEC 2021. |
| Citações Web of Science: | 0 |
| Resumo | |
Maps f; g : I -> I are called strongly commuting if f circle g(-1) = g(-1) circle f. We show that surjective, strongly commuting, strictly piecewise monotone maps f, g can be decomposed into a finite number of invariant intervals (or period 2 intervals) on which f, g are either both open maps, or at least one of them is monotone. As a consequence, two strongly commuting, strictly piecewise monotone interval maps have a common fixed point. Results of the paper also have implications in understanding dynamical properties of certain maps on inverse limit spaces. (AU) | |
| Processo FAPESP: | 18/17585-5 - Esturtura topologica dos atratores de Lozi |
| Beneficiário: | Ana Anusic |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |