2010•Unpublished venueRequires access

Generalized Mandelbrot Sets and Julia Sets for Non-analytic Complex Maps

Yan Dejun, Yang Rijing, Xin Huijie, Zheng Jiangchao

Abstract

In this paper we investigate the generalized Mandelbrot sets and Julia sets generated from non-analytic complex maps. We use the escaping time algorithm to construct the generalized Mandelbrot set and Julia sets. We find that the structures of the generalized Mandelbrot sets and the Julia sets are similar to the analytic complex iterated function systems.

About this research paper

What this paper is about

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Mandelbrot set, Julia set, Complex quadratic polynomial, Iterated function, Newton fractal, Mathematics, Iterated function system, Set (abstract data type)