Mathematics, Volume 9, Issue 13
2021 July-1 - 128 articles
Cover Story: A model of a layered, hierarchically constructed composite is presented, the structure of which demonstrates the properties of similarity at different scales. For the proposed model of the composite, fractal analysis was carried out, including an assessment of the permissible range of scales, calculation of fractal capacity, Hausdorff and Minkovsky dimensions, and calculation of the Hurst exponent. The maximum and minimum sizes at which fractal properties are observed are investigated, and a quantitative assessment of the complexity of the proposed model is carried out. A software package is developed that allows one to calculate the fractal characteristics of hierarchically constructed composite media. A qualitative analysis of the calculated fractal characteristics is also carried out. View this paper - Issues are regarded as officially published after their release is announced to the table of contents alert mailing list .
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