| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [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
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | FUNDAMENTA MATHEMATICAE; DEC 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
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) | |
| FAPESP's process: | 18/17585-5 - Topological structure of Lozi attractors |
| Grantee: | Ana Anusic |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |