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Research Article | Open Access

Invariant Jordan curves in the Julia sets of rational maps

School of Mathematics, Qilu Normal University, Jinan 250200, China
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Abstract

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

Keywords

Julia setsinvariant Jordan curvesmatingrational mapscombinatorial equivalence
CLC number: 37F10, 37F20

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AIMS Mathematics
Volume 10 Issue 7,
July 2025
Pages 16664-16675
DOI: 10.3934/math.2025747

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Zhang X. Invariant Jordan curves in the Julia sets of rational maps. AIMS Mathematics, 2025, 10(7): 16664-16675. https://doi.org/10.3934/math.2025747

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Received: 24 March 2025
Revised: 28 June 2025
Accepted: 08 July 2025
Published: 15 July 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)