Geometric limit of Julia set of a family of rational functions with odd degree

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED

Dynamical Systems-An International Journal Pub Date : 2021-10-02 DOI:10.1080/14689367.2021.1993145

A. Alves, B. P. Silva e Silva, M. Salarinoghabi

引用次数: 1

Abstract

For a positive odd integer d, we study the connectedness of the Julia set of the one-parameter family of rational maps given by with . Also, when we show that the geometric limit of the Julia set and filled Julia set of the family exists and is the unit circle.

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奇次有理函数族Julia集的几何极限

对于正奇数d，研究了由给出的有理映射的单参数族的Julia集的连通性。同时，我们证明了族的Julia集和填充Julia集的几何极限存在，并且是单位圆。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Dynamical Systems-An International Journal 物理-力学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Dynamical Systems: An International Journal is a world-leading journal acting as a forum for communication across all branches of modern dynamical systems, and especially as a platform to facilitate interaction between theory and applications. This journal publishes high quality research articles in the theory and applications of dynamical systems, especially (but not exclusively) nonlinear systems. Advances in the following topics are addressed by the journal: •Differential equations •Bifurcation theory •Hamiltonian and Lagrangian dynamics •Hyperbolic dynamics •Ergodic theory •Topological and smooth dynamics •Random dynamical systems •Applications in technology, engineering and natural and life sciences