Robust Transitivity for Endomorphisms
| Autor: | Lizana, Cristina, Pujals, Enrique |
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| Rok vydání: | 2012 |
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| Druh dokumentu: | Working Paper |
| Popis: | We address the problem about under what conditions an endomorphism having a dense orbit, verifies that a sufficiently close perturbed map also exhibits a dense orbit. In this direction, we give sufficient conditions, that cover a large class of examples, for endomorphisms on the n-dimensional torus to be robustly transitive: the endomorphism must be volume expanding and any large connected arc must contain a point such that its future orbit belong to an expanding region. Comment: 32 pages, 13 figures |
| Databáze: | arXiv |
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