FRACTAL DIMENSIONS - COMPUTATIONAL PROBLEMS

被引：1
|
作者：
VAVRIV, DM
RYABOV, VB
机构：
来源：
USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 1989年 / 29卷 / 04期
关键词：
D O I：
10.1016/0041-5553(89)90111-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A comparative analysis is performed of the basic methods for calculating fractal dimensions and a new computational technique is proposed. A relationships is derived between the invariant distribution function and the probability distribution function of the distances between points on a strange attractor. The effect of boundaries and singularities in the invariant distribution function on fractal dimensions is investigated. Fractal dimensions are computed for particular systems with chaotic behaviour.
引用
收藏
页码：18 / 26
页数：9
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