Invariant Jordan curves in the Julia sets of rational maps

We give a way to construct invariant Jordan curves in the Julia sets of rational maps that are not boundaries of Fatou components.

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Publication Details

Journal
AIMS Mathematics
Published
2025-01-01
DOI
https://doi.org/10.3934/math.2025747
Primary Topic
Mathematical Dynamics and Fractals
Type
article
Field-Weighted Citation Impact
0.00
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article

Invariant Jordan curves in the Julia sets of rational maps

X. Zhang
AIMS Mathematics
Mathematical Dynamics and Fractals
article

Invariant Jordan curves in the Julia sets of rational maps

X. Zhang
article en

Abstract

We give a way to construct invariant Jordan curves in the Julia sets of rational maps that are not boundaries of Fatou components.

AIMS MathematicsVol. 10(7)
Qilu Normal University (CN)
Openalex Percentile: Top 76%
Mathematical Dynamics and Fractals
DOIOpen Access PDFOpenAlex
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Invariant Jordan curves in the Julia sets of rational maps — X. Zhang · AIMS Mathematics (2025) | TGRS Research Map | TGRS