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http://hdl.handle.net/10077/8272| Title: | Index and persistence of stable Cantor sets | Authors: | Ortega, Rafael Ruiz-Herrera, Alfonso |
Keywords: | Lyapunov stability; Cantor set; fixed point index; translation arc | Issue Date: | 2012 | Publisher: | EUT Edizioni Università di Trieste | Source: | Rafael Ortega, Alfonso Ruiz-Herrera, "Index and persistence of stable Cantor sets", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 44 (2012), pp. 33–44. | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 44 (2012) |
Abstract: | A theorem by Bell and Meyer says that a stable and transitive Cantor set in the plane can be approximated by periodic points. We prove that the periodic points can be chosen with index one. As a consequence these Cantor sets are always persistent invariant sets. |
Type: | Article | URI: | http://hdl.handle.net/10077/8272 | ISSN: | 0049-4704 |
| Appears in Collections: | Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.44 (2012) |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Ortega_RuizHerrera_RIMUT44.pdf | 221.71 kB | Adobe PDF |  View/Open |
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