Non-recurrent rational maps with disconnected Julia set

Nonlinearity 2026 Open access

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Authors: Yan Gao, Liang Xu, Luxian Yang
DOI: 10.1088/1361-6544/ae54f4
Cited by: 0

Abstract

Abstract We prove that every wandering exposed Julia component of a rational map is a singleton, provided that each wandering Julia component containing critical points is non-recurrent. Moreover, we show that the Julia set contains only finitely many periodic complex-type components if each wandering Julia component containing critical values is non-recurrent.

Fields of Study & Subjects

Mathematical Dynamics and Fractals Advanced Differential Equations and Dynamical Systems

Publication details

Journal / source
Nonlinearity
Volume
39
Issue
4
Pages
045004–045004
Publication date
7 April 2026
Language
EN