Published 2005
| Version v1
Journal article
Self-similarity and self-affine of multidimensional fractals
- 1. Kazakhskij Natsional'nyj Univ. imeni al'-Farabi, Almaty (Kazakhstan)
Description
Formulas of fractal dimensions of multidimensional objects have been obtained though the relation of their performances. Critical fractal dimensions of conversion form of self-affinity to a self-similarity on a scale of measuring are defined. Our offered formulas do not contain empirical stationary values as against the results of known theories and correctly describe scale invariance properties of self-affine fractals. (author)
Additional details
Additional titles
- Original title (Russian)
- Самоподобие и самоаффинност' многомерных фрактаов
Publishing Information
- Journal Title
- Izvestiya Natsional'noj Akademii Nauk Respubliki Kazakhstan. Seriya Fiziko-Matematicheskaya
- Journal Volume
- 2
- Journal Issue
- 6
- Journal Page Range
- p. 43-55
- ISSN
- 1991-346X
INIS
- Country of Publication
- Kazakhstan
- Country of Input or Organization
- Kazakhstan
- INIS RN
- 37082561
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- AFFINITY; DIMENSIONS; FRACTALS; SCALE DIMENSION; SCALE INVARIANCE
- Descriptors DEC
- INVARIANCE PRINCIPLES
Optional Information
- Notes
- 9 refs., 8 figs.