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Autor:
Matteau, C., Rochon, D.
In this article, we introduce the adapted inverse iteration method to generate bicomplex Julia sets associated to the polynomial map $w^2+c$. The result is based on a full characterization of bicomplex Julia sets as the boundary of a particular bicom
Externí odkaz:
http://arxiv.org/abs/1311.6462
In this article, we introduce the concept of normal families of bicomplex holomorphic functions to obtain a bicomplex Montel theorem. Moreover, we give a general definition of Fatou and Julia sets for bicomplex polynomials and we obtain a characteriz
Externí odkaz:
http://arxiv.org/abs/0806.4403
Autor:
D. Rochon, C. Matteau
Publikováno v:
Chaos, Solitons & Fractals. 75:272-280
In this article, we introduce the adapted inverse iteration method to generate bicomplex Julia sets associated to the polynomial map $w^2+c$. The result is based on a full characterization of bicomplex Julia sets as the boundary of a particular bicom
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d8bafa0b5d9b83f950b96da6cdccfd31
https://doi.org/10.1016/j.chaos.2015.02.027
https://doi.org/10.1016/j.chaos.2015.02.027
In this article, we introduce the concept of normal families of bicomplex holomorphic functions to obtain a bicomplex Montel theorem. Moreover, we give a general definition of Fatou and Julia sets for bicomplex polynomials and we obtain a characteriz
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fc113437183456f9c5ee29dd5b7d6aeb