Abstract
We prove that there exists a \(C^1\)-open set \(\mathcal{U }\) 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 \(\mathcal{U }\) contains all Hénon map in the boundary of the real horseshoe locus.
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Research supported by FAPESP 2010/20159-6
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Mendoza, V. A Note About Pruning and Hénon Maps. Qual. Theory Dyn. Syst. 12, 443–448 (2013). https://doi.org/10.1007/s12346-013-0101-9
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DOI: https://doi.org/10.1007/s12346-013-0101-9