Historic behavior in non-hyperbolic homoclinic classes
Dynamical Systems
2022-03-30 v3
Abstract
We show that -generically for diffeomorphisms of manifolds of dimension , a homoclinic class containing saddles of different indices has a residual subset where the orbit of any point has historic behavior.
Cite
@article{arxiv.1905.04703,
title = {Historic behavior in non-hyperbolic homoclinic classes},
author = {Pablo G. Barrientos and Shin Kiriki and Yushi Nakano and Artem Raibekas and Teruhiko Soma},
journal= {arXiv preprint arXiv:1905.04703},
year = {2022}
}
Comments
Version 3 is accepted in Proceedings of the American Mathematical Society