FRACTAL CHARACTERISTICS OF NUMERICAL SERIES, DETERMINED ON THE BASIS OF TENSOR MODELS

Authors

  • Y. M. Minaev НАУ
  • O. Yu. Filimonova Київський національний університет будівництва і архітектури
  • M. M. Guziy НАУ

Abstract

A new method for determining fractal dimensionality is proposed. Peculiarities of determining fractal dimensions on the basis of tensor modeling are considered. The tensor interpretation of the numerical series is considered. A comparative analysis of the invariants of the tensor and the Hirst exponent is performed.

Author Biographies

Y. M. Minaev , НАУ

д-р техн. наук

O. Yu. Filimonova , Київський національний університет будівництва і архітектури

канд. техн. наук

M. M. Guziy , НАУ

канд. техн. наук

References

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Шредер М. Ю. Фракталы, хаос, степенные законы. -М.: Наука, 2001.-528 с.

Федер Е. Фракталы. - М.: Мир, 1991.-262 с.

Крон Г. Тензорный анализ сетей. - М.: Сов. Радио, 1978. - 720 с.

Гсчъфанд И. М. Курс лекций по линейной алгебре. 3-изд. - М.: Наука, 1966. - 280 с.

Петерс Э. Хаос и порядок на рынках капитала. - М.: Мир, 2000.

Інтернет-ресурси - http://vTVv.cmastcrtrade.m/iuVnain/mdex/id 29.asp, http ://www. e- mastertrad e. ru/ru/mai n/ index/id!3.asp

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Published

2006-03-30

How to Cite

Minaev , Y. M., Filimonova , O. Y., & Guziy , M. M. (2006). FRACTAL CHARACTERISTICS OF NUMERICAL SERIES, DETERMINED ON THE BASIS OF TENSOR MODELS. Problems of Informatization and Control, 1(16), 106–121. Retrieved from http://jrnl.kai.edu.ua/index.php/PIU/article/view/16430

Issue

Vol. 1 No. 16 (2006)

Section

Статті

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