Shinobu Hashimoto
Published 2018-04-23Version 1
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.
Comments: 24 pages, 17 figures, Tokyo J. Math. 2019
Distortion in Groups of Circle and Surface Diffeomorphisms
SRB measures and Young towers for surface diffeomorphisms
Non-periodic bifurcation for surface diffeomorphisms
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