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Mathematics > Dynamical Systems

arXiv:1804.08400 (math)
[Submitted on 23 Apr 2018]

Title:Moduli of surface diffeomorphisms with cubic tangencies

Authors:Shinobu Hashimoto
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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.
Comments: 24 pages, 17 figures, Tokyo J. Math. 2019
Subjects: Dynamical Systems (math.DS)
MSC classes: 37C15, 37C70, 37E30(Primary)
Cite as: arXiv:1804.08400 [math.DS]
  (or arXiv:1804.08400v1 [math.DS] for this version)
  https://doi.org/10.48550/arXiv.1804.08400
Related DOI: https://doi.org/10.3836/tjm/1502179278

Submission history

From: Shinobu Hashimoto [view email]
[v1] Mon, 23 Apr 2018 13:31:51 UTC (3,567 KB)
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