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

LIU Xiang-dong; YAN De-jun; ZHU Wei-yong

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Article Navigation > Applied Mathematics and Mechanics > 2001 > 22(11): 1187-1192

LIU Xiang-dong, YAN De-jun, ZHU Wei-yong, . The Bounds of the General M and J Sets and the Estimations for the Hausdorff’s Dimension of the General J Set[J]. Applied Mathematics and Mechanics, 2001, 22(11): 1187-1192.

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

1.
Department of Mathematics & Physics, Anshan Institute of Iron & Steel Technology, Anshan 114001, P R China;
2.
School of Information Science and Engineering, Northeastern University, Shenyang 110006, P R China

Received Date: 1999-04-26
Rev Recd Date: 2001-03-20
Publish Date: 2001-11-15

Abstract

Abstract

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 algorithm,and followed from the conclusion,but also offered two estimations of some special Julia set's Hausdorff’s dimension by approximate linearization method.
- general Mandelbrot set,
- general Julia set,
- Hausdorff’s dimension

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References(5)

References

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