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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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A Finite Element Approach to Modelling Fractal Ultrasonic Transducers [PDF]
, 2014 Piezoelectric ultrasonic transducers usually employ composite structures to improve their transmission and reception sensitivities. The geometry of the composite is regular with one dominant length scale and, since these are resonant devices, this ...
Algehyne, Ebrahem A. +3 more
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Review on Fractal Analysis of Porous Metal Materials
Journal of Chemistry, 2015 Porous metal materials are multifunctional lightweight materials and have been used widely in industry. The structural and functional characters of porous metal materials depend on the pore structure which can be described effectively by the fractal ...
J. Z. Wang +4 more
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Fractal-Cluster Theory and Its Applications for the Description of Biological Organisms
Entropy, 2023 This article presents an overview of an alternative approach to the systematization and evolution of biological organisms on the basis of the fractal-cluster theory.
Vyacheslav Theodorovich Volov
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The practical application of fractal dimension in water treatment practice-the impact of polymer dosing [PDF]
, 2008 The application of floc fractal dimension has been investigated in this work to determine if this parameter can have operational significance in water treatment.
Jefferson, Bruce +4 more
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Quantifying Fracture Dynamics in Clean Energy: A Novel Fractal Perspective [PDF]
E3S Web of ConferencesGeothermal energy, as an emergent source of power, has consistently been a focal point of scholarly investigation both domestically and internationally, with a particular emphasis on the prediction and assessment of its extraction efficiency.
Ye Dayu, Liu Guannan, Feng Gao
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Hodge-de Rham theory on fractal graphs and fractals
Communications on Pure and Applied Analysis, 2014 We present a new approach to the theory of k-forms on self-similar fractals. We work out the details for two examples, the standard Sierpinski gasket and the 3-dimensional Sierpinski gasket, but the method is expected to be effective for many PCF fractals and also infinitely ramified fractals such as the Sierpinski carpet.
Aaron, Skye +3 more
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