An example of $C^1$-generically wild homoclinic classes with index deficiency
Dynamical Systems
2011-07-20 v1
Abstract
Given a closed smooth four-dimensional manifold, we construct a diffeomorphism that has a homoclinic class whose continuation locally generically satisfies the following condition: it does not admit any kind of dominated splittings whereas any periodic points belonging to it never have unstable index one.
Keywords
Cite
@article{arxiv.1006.5569,
title = {An example of $C^1$-generically wild homoclinic classes with index deficiency},
author = {Katsutoshi Shinohara},
journal= {arXiv preprint arXiv:1006.5569},
year = {2011}
}