A Note About Pruning and Henon Maps

作者：Mendoza Valentin^*

来源：Qualitative Theory of Dynamical Systems, 2013, 12(2): 443-448.

DOI：10.1007/s12346-013-0101-9

• Pruning diffeotopies
• Henon maps
• Horseshoe locus

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.

• 出版日期2013-10