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
|
| Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estat, BR-05508090 Sao Paulo - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | Nonlinearity; v. 26, n. 3, p. 679-690, MAR 2013. |
| Web of Science Citations: | 4 |
| Abstract | |
The Pruning Front Conjecture is proved for an open set of Henon parameters far from unimodal. More specifically, for an open subset of Henon parameter space, consisting of two connected components one of which intersects the area-preserving locus, it is shown that the associated Henon maps are prunings of the horseshoe. In particular, their dynamics is a subshift of the two-sided two-shift. (AU) | |