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Erschienen in:
2018 | OriginalPaper | Buchkapitel
6. Control and Synchronization of Spatial Julia Sets
verfasst von : Shu-Tang Liu, Pei Wang
Erschienen in: Fractal Control Theory
Verlag: Springer Singapore
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Abstract
In 1982, Alan Norton [415] displayed the spatial Julia sets in \(4-D\) quaternion by the boundary tracking method firstly. There have been extensive investigations about the spatial Julia set later. Hart et al. [416] obtained a deterministic \(3-D\) Julia set by the ray tracing. The \(3-D\) Julia sets are produced based on customized complexified quaternion [417]. Bogush et al. [418] investigated some algebraic and geometrical properties of \(3-D\) Julia sets by means of the group analysis theory. Moreover, many people are also interested in the structures and interior properties of the spatial Julia sets [419–422].