On the symmetry of bioctonionic Julia sets

• Autorzy: Katunin A.
• Języki publikacji: EN

Abstrakty

EN

The hypercomplex fractals obtained from generalizations of J- and M-sets, apart from their visual aesthetics, play an important role in the mathematical description in various fields of physics. The generalizations of J- and M-sets to the four-dimensional Euclidean space are well known and well described. However, very few studies were done for the higher-dimensional generalizations. The paper discusses the J-sets generalization to the hypercomplex algebra of bioctonions and completes the previous studies in this domain. The symmetry properties were studied for quadratic mapping of the bioctonionic J-sets. The discussion of limitations of the further generalizations of J-sets to higher hypercomplex spaces was also provided.

Słowa kluczowe

EN

Julia sets; hypercomplex fractals; bioctonions; hypercomplex algebra

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2013
• Tom: Vol. 12, nr 2
• Strony: 23--28
• Opis fizyczny: Bibliogr. 18 poz., tab.

Twórcy

autor

Katunin A.

• Institute of Fundamentals of Machinery Design, Silesian University of Technology Gliwice, Poland

Bibliografia

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