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Arithmetic geometric model for the renormalisation of irrationally indifferent attractors
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Title: | Arithmetic geometric model for the renormalisation of irrationally indifferent attractors |
Authors: | Cheraghi, D |
Item 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. |
Issue Date: | 30-Oct-2023 |
Date of Acceptance: | 12-Oct-2023 |
URI: | http://hdl.handle.net/10044/1/107424 |
DOI: | 10.1088/1361-6544/ad0279 |
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. |
Publication Status: | Published |
Article Number: | ARTN 6403 |
Appears in Collections: | Pure Mathematics Mathematics |
This item is licensed under a Creative Commons License