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Seepage–Fractal Model of Embankment Soil and Its Application
Fractal and Fractional, 2022 Over time and across space, the hydraulic conductivity, fractal dimension, and porosity of embankment soil have strong randomness, which makes analyzing seepage fields difficult, affecting embankment risk analysis and early disaster warning.
Xiaoming Zhao +4 more
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Distribution theory on P.C.F. fractals [PDF]
Journal d'Analyse Mathématique, 2010 38 ...
Rogers, Luke G., Strichartz, Robert S.
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Historical aspects of fractal theory appearance
Физика волновых процессов и радиотехнические системы, 2021 In paper short definition of a fractal is made, its basic properties are resulted, historical preconditions of origination fractal theories in a context of terms «assemblage» and «function» which development is observed from the moment of their ...
Viktor A. Kuznetsov
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Advances in Mechanical Engineering, 2020 To analyze the fractal form of the vascular network in the human circulatory system, the optimal transport effect has been achieved from the point of view of biological evolution.
Yan-li Chen +7 more
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Fractal Dimension Complexity of Gravitation Fractals in Central Place Theory
Scientific Reports, 2022 Abstract Settlement centers of various types, including cities, produce basins of attraction whose shape can be regular or complexly irregular (from the point of view of geometry). It depends, among others, on the properties of the space surrounding a city.
Banaszak, Michał +3 more
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Slope Deformation Prediction Based on IVDF-SVR Coupling Model
Renmin Zhujiang, 2022 Given the shortcomings of improved variable-dimension fractal in the fitting and prediction of fractal dimensions,this paper proposes a fractal prediction model based on the coupling of the improved variable-dimension fractal (IVDF) theory and the ...
HOU Taiping +5 more
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Coalgebraic Representation Theory of Fractals
Electronic Notes in Theoretical Computer Science, 2010 AbstractWe develop a representation theory in which a point of a fractal specified by metric means (by a variant of an iterated function system, (IFS) is represented by a suitable equivalence class of infinite streams of symbols. The framework is categorical: symbolic representatives carry a final coalgebra; an IFS-like metric specification of a ...
Hasuo, I. +3 more
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Interval estimation for contact stiffness of bolted joint with uncertain parameters
Advances in Mechanical Engineering, 2019 Bolted joints are elements used to create resistant assemblies in the mechanical system, whose overall performance is greatly affected by joints’ contact stiffness. Most of the researches on contact stiffness are based on certainty theory whereas in real
Yongsheng Zhao +4 more
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Feature extraction and identification of gas–liquid two-phase flow based on fractal theory
Systems Science & Control Engineering, 2021 Due to the gas–liquid two-phase flow system with nonlinear characteristics, the fractal theory has a significant impact on nonlinear analysis, so the paper proposes applying the fractal theory to characterize the fractal characteristics of two-phase flow.
Chunling Fan +4 more
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Influence of surface topography on three-dimensional fractal model of sliding friction
AIP Advances, 2017 The purpose of this paper is to establish a three-dimensional model of sliding friction and to study the influence of surface topography fractal parameters on the model.
Wujiu Pan +4 more
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