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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



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