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CALCULATION OF JULIA SETS BY EQUIPOTENTIAL POINT ALGORITHM

YUANYUAN SUN

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

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XUDONG ZHAO

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

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KAINING HOU

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

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https://doi.org/10.1142/S0218127413500156Cited by:4 (Source: Crossref)

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.

Keywords:

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