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.
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页码：18 / 26
页数：9
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