Quaternion Dynamics and Fractals in R[sup 4].

Autor:	Galeeva, R., Verjovsky, A.
Předmět:	QUATERNION functions FRACTALS FATOU theorems DIVISION rings MANDELBROT sets
Zdroj:	International Journal of Bifurcation & Chaos in Applied Sciences & Engineering; Sep99, Vol. 9 Issue 9, p1771, 5p
Abstrakt:	In this paper we study the Fatou-Julia theory for some quaternionic rational functions in the quaternion skew-field H. We obtain new dynamically-defined fractals in R[sup 4] as the corresponding Julia sets. We also define the quaternionic Mandelbrot set. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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