Results 61 to 70 of about 128,827 (147)

Signal Pattern Recognition Based on Fractal Features and Machine Learning

Applied Sciences, 2018
As a typical pattern recognition method, communication signal modulation involves many complicated factors. Fractal theory can be used for signal modulation feature extraction and recognition because of its good ability to express complex information. In
Chang-Ting Shi
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Interpolating between Hausdorff and box dimension

, 2023
Hausdorff and box dimension are two familiar notions of fractal dimension. Box dimension can be larger than Hausdorff dimension, because in the definition of box dimension, all sets in the cover have the same diameter, but for Hausdorff dimension there is no such restriction.
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Fractal analysis of Hopf bifurcation for a class of completely integrable nonlinear Schrödinger Cauchy problems

Electronic Journal of Qualitative Theory of Differential Equations, 2010
We study the complexity of solutions for a class of completely integrable, nonlinear integro-differential Schrödinger initial-boundary value problems on a bounded domain, depending on a real bifurcation parameter.
J. P. Milisic, Darko Žubrinić, Vesna Županović   +2 more
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Box dimension of generic Hölder level sets

Indagationes Mathematicae
Hausdorff dimension of level sets of generic continuous functions defined on fractals can give information about the "thickness/narrow cross-sections" "network" corresponding to a fractal set, $F$. This lead to the definition of the topological Hausdorff dimension of fractals.
Zoltán Buczolich, Balázs Maga
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Retraction Note: Modified box dimension and average weighted receiving time on the weighted fractal networks. [PDF]

Sci Rep, 2020
Dai M, Sun Y, Shao S, Xi L, Su W.
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Fractal Analysis of Volcanic Rock Image Based on Difference Box-Counting Dimension and Gray-Level Co-Occurrence Matrix: A Case Study in the Liaohe Basin, China

Fractal and Fractional
Volcanic rocks, as a widely distributed rock type on the earth, are mostly buried deep within basins, and their internal structures possess characteristics by irregularity and self-similarity.
Sijia Li, Zhuwen Wang, Dan Mou
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Microstructure quantitative analysis of multi-scale pores in C/SiC composites via micro-CT for revealing correlations with interlaminar shear properties

Journal of Materials Research and Technology
Fiber reinforced Ceramic Matrix composites (CMCs) are widely used in aerospace fields due to their excellent properties. However, pores are inevitable during CMCs manufacturing, due to their anisotropy and fabrication complexity.
Wenhan Qu, Yintang Wen, Yuyan Zhang, Bo Liang   +3 more
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Inhomogeneous attractors and box dimension

Expository article.
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Alveolar fractal box dimension inversely correlates with mean linear intercept in mice with elastase-induced emphysema

International Journal of COPD, 2012
Mary P Andersen1, A Read Parham1, J Clifford Waldrep1,2, Wayland N McKenzie1, Rajiv Dhand1,21Division of Pulmonary, Critical Care, and Environmental Medicine, Department of Internal Medicine, University of Missouri, 2Research Services, Harry S Truman ...
Andersen MP, Parham AR, Waldrep JC, McKenzie WN, Dh, R   +5 more
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