Topological methods in surface dynamics: from the Hénon family to torus rotation sets
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Full text | |
Author(s): |
Mendoza, Valentin
[1]
Total Authors: 1
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Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estat IME USP, BR-05508090 Sao Paulo - Brazil
Total Affiliations: 1
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Document type: | Journal article |
Source: | Qualitative Theory of Dynamical Systems; v. 12, n. 2, p. 443-448, OCT 2013. |
Web of Science Citations: | 1 |
Abstract | |
We prove that there exists a C-1-open set U of diffeomorphisms of the plane that consists of pruning diffeomorphisms of the horseshoe (up to a conjugacy), with the property that the C-0-closure of U contains all Henon map in the boundary of the real horseshoe locus. (AU) | |
FAPESP's process: | 10/20159-6 - Pruning theory and dynamics of the complex Hénon family |
Grantee: | Juan Valentín Mendoza Mogollón |
Support Opportunities: | Scholarships in Brazil - Post-Doctoral |