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33号 >

Please use this identifier to cite or link to this item: http://hdl.handle.net/11133/1967

Title: w=cz(3-z^2)+1のMandelbrot集合について
Other Titles: W=CZ(3-Z2)+1 ノ MANDELBROT シュウゴウ ニツイテ
On the Mandelbrot Set of w=cz(3-z^2)+1
Authors: 森, 雄助
橋本, 有司
MORI, Yusuke
Issue Date: 31-Mar-1998
Publisher: 愛知工業大学
Abstract: The Mandelbrot set of the quadratic polynomial pc(z)=z^2+c is the set of those values c such that the iteration sequence {p^n_c(0)}of the finite critical point 0 of pc(z)is bounded Similarly ,we can define the Mandelbrot set of the cubic polynomial qc(z)=cz(3-z^2)+1 with two finite critical points 1 and -1. And investingating this Mandelbrot set,we can obtain some examples of Julia sets which are disconnected,but need not be totally disconnected.
URI: http://hdl.handle.net/11133/1967
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