- Tytuł:
- On the symmetry of bioctonionic Julia sets
- Autorzy:
- Katunin, A.
- Powiązania:
- https://bibliotekanauki.pl/articles/122886.pdf
- Data publikacji:
- 2013
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
Julia sets
hypercomplex fractals
bioctonions
hypercomplex algebra - Opis:
- 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.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 2; 23-28
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł