CALCULATION OF JULIA SETS BY EQUIPOTENTIAL POINT ALGORITHM-Reference-Cited by-同舟云学术

CALCULATION OF JULIA SETS BY EQUIPOTENTIAL POINT ALGORITHM

Published:2013-01 Issue:01 Volume:23 Page:1350015
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

SUN YUANYUAN¹,ZHAO XUDONG¹,HOU KAINING¹

Affiliation:

1. College of Computer Science and Technology, Dalian University of Technology, Dalian, Liaoning 116024, P. R. China

Abstract

Escape time algorithm is a classical algorithm to calculate the Julia sets, but it has the disadvantage of dull color and cannot record the iterative process of the points. In this paper, we present the equipotential point algorithm to calculate the Julia sets by recording the strike frequency of the points in the iterative process. We calculate and analyze the Julia sets in the complex plane by using this algorithm. Finally, we discuss the iteration trajectory of a single point.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127413500156

Reference12 articles.

1. On a topological closeness of perturbed Julia sets

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