Control of Julia sets

Shou Gang Sui and Shu Tang Liu

Chaos, Solitons & Fractals, 2005, vol. 26, issue 4, 1135-1147

Abstract: In this paper, we used a proper mathematic transform to realize the whole magnification and minification, extension along the X- or Y-axis and rotation of a Julia set which was based on the Julia set of the complex iteration function zn+1=zn2+c, and we thereby realized the control of the Julia set without changing the characteristics of the Julia set.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:26:y:2005:i:4:p:1135-1147

DOI: 10.1016/j.chaos.2005.02.022

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