The Bounds of the General M and J Sets and the Estimations for the Hausdorff's Dimension of the General J Set.

Autor:	Liu, Xiang-dong, Yan, De-jun, Zhu, Wei-yong, Wang, Guang-xing
Předmět:	FRACTALS JULIA sets MANDELBROT sets HAUSDORFF measures NONLINEAR theories STOCHASTIC convergence
Zdroj:	Applied Mathematics & Mechanics; Nov2001, Vol. 22 Issue 11, p1318-1324, 7p
Abstrakt:	The bounds of the general M and J sets were analytically offered. Some of the bounds were optimal in certain meaning. It not only solved the primary problem of the construction of fractal sets by escape time algorith, and followed from the conclusion, but also offered two estimations of some special Julia set's Hausdorff's dimension by approximate linearization method. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
Externí odkaz:	Zobrazit plný text záznamu Full text from SpringerLink