Dynamics of transformations coupled with interval exchange transformations
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Aix Marseille Univ, CNRS, UMR 7373, Cent Marseille, I2M, F-13453 Marseille - France
[2] Univ Sao Paulo, Fac Filosofia Ciencias & Letras, Dept Comp & Matemat, BR-14040901 Ribeirao Preto, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Ergodic Theory and Dynamical Systems; v. 35, n. 7, p. 2198-2215, OCT 2015. |
| Web of Science Citations: | 5 |
| Abstract | |
We study the long-term behavior of injective piecewise contractions of the interval. We prove that every injective piecewise contraction with n - 1 discontinuities has at most n periodic orbits and is topologically conjugate to a piecewise linear contraction. (AU) | |
| FAPESP's process: | 13/12359-3 - Dynamical systems in dimensions 1 and 2 |
| Grantee: | Benito Frazao Pires |
| Support type: | Regular Research Grants |
| FAPESP's process: | 09/02380-0 - Flows on surfaces and exchange transformations |
| Grantee: | Benito Frazao Pires |
| Support type: | Research Grants - Young Investigators Grants |