Moduli of surface diffeomorphisms with cubic tangencies
Dynamical Systems
2018-04-24 v1
Abstract
In this paper, we study conjugacy invariants for 2-dimensional diffeomorphisms with homoclinic cubic tangencies (two-sided tangencies of the lowest order) under certain open conditions. Ordinary arguments used in past studies of conjugacy invariants associated with one-sided tangencies do not work in the two-sided case. We present a new method which is applicable to the two-sided case.
Cite
@article{arxiv.1804.08400,
title = {Moduli of surface diffeomorphisms with cubic tangencies},
author = {Shinobu Hashimoto},
journal= {arXiv preprint arXiv:1804.08400},
year = {2018}
}
Comments
24 pages, 17 figures, Tokyo J. Math. 2019