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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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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 ...
Mulholland, Anthony, Algehyne, Ebrahem
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Counterexamples in theory of fractal dimension for fractal structures [PDF]
Chaos, Solitons & Fractals, 2016 Fractal dimension constitutes the main tool to test for fractal patterns in Euclidean contexts. For this purpose, it is always used the box dimension, since it is easy to calculate, though the Hausdorff dimension, which is the oldest and also the most accurate fractal dimension, presents the best analytical properties.
M. Fernández-Martínez +2 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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A commutative noncommutative fractal geometry [PDF]
, 2010 In this thesis examples of spectral triples, which represent fractal sets, are examined and new insights into their noncommutative geometries are obtained.
Samuel, Tony; id_orcid +6 more
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A New Digital Signature Scheme Based on Mandelbrot and Julia Fractal Sets. [PDF]
, 2007 This paper describes a new cryptographic digital signature scheme based on Mandelbrot and Julia fractal sets. Having fractal based digital signature scheme is possible due to the strong connection between the Mandelbrot and Julia fractal sets.
Alia, Mohammad Ahmad, Samsudin, Azman
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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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Fractal Theory in Thin Films: Literature Review and Bibliometric Evidence on Applications and Trends
Fractal and Fractional, 2022 A bibliometric analysis of publications on fractal theory and thin films is presented in this article. Bibliographic information is extracted from the Web of Science digital database and the bibliographic mapping undertaken using VOSviewer software ...
Fredrick M. Mwema +2 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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