Arithmetic geometric model for the renormalisation of irrationally indifferent attractors
File(s)
Accepted version
Author(s)
Cheraghi, Davoud
Type
Journal Article
Abstract
In this paper we build a geometric model for the renormalisation of irrationally indifferent fixed points. The geometric model incorporates the fine arithmetic properties of the rotation number at the fixed point. Using this model for the renormalisation, we build a topological model for the dynamics of a holomorphic map near an irrationally indifferent fixed point. We also explain the topology of the maximal invariant set for the model, and also explain the dynamics of the map on the maximal invariant set.
Date Issued
2023-10-30
Date Acceptance
2023-10-12
Citation
Nonlinearity, 2023, 36 (12)
ISSN
0951-7715
Publisher
IOP Publishing
Journal / Book Title
Nonlinearity
Volume
36
Issue
12
Copyright Statement
© 2023 IOP Publishing Ltd & London Mathematical Society. Original Content from this work may be used under the terms of the Creative Commons Attribution
3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the
title of the work, journal citation and DOI.
3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the
title of the work, journal citation and DOI.
License URL
Publication Status
Published
Article Number
ARTN 6403