AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (1.4 MB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Invariant Jordan curves in the Julia sets of rational maps

School of Mathematics, Qilu Normal University, Jinan 250200, China
Show Author Information

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

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 10 Issue 7,
July 2025
Pages 16664-16675
DOI: 10.3934/math.2025747

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
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

59

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
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)