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A Comparative Study of Fractal Models Applied to Artificial and Natural Data
Fractal and FractionalThis paper presents an original and comprehensive comparative analysis of eight fractal analysis methods, including Box Counting, Compass, Detrended Fluctuation Analysis, Dynamical Fractal Approach, Hurst, Mass, Modified Mass, and Persistence.
Gil Silva +9 more
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CommIT Journal, 2007 Article presents analysis and analyze a software that utilize Geometry Fractal, especially Iterated Function System Fractal, as art. Research method that has been used in this research is by library study and by laboratorium study to test the performance
Tri Djoko Wahjono +2 more
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, 2015 We formulate the helicaliser, which replaces a given smooth curve by another curve that winds around it. In our analysis, we relate this formulation to the geometrical properties of the self-similar circular fractal (the discrete version of the curved ...
Chew, Lock Yue, Saw, Vee-Liem
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Dynamics of Forest Fragmentation and Connectivity Using Particle and Fractal Analysis
Scientific Reports, 2019 The ever decreasing area of forests has lead to environmental and economical challenges and has brought with it a renewed interest in developing methodologies that quantify the extent of deforestation and reforestation.
Ion Andronache +15 more
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Fractal Fidelity as a signature of Quantum Chaos
, 2007 We analyze the fidelity of a quantum simulation and we show that it displays fractal fluctuations iff the simulated dynamics is chaotic. This analysis allows us to investigate a given simulated dynamics without any prior knowledge.
D. Rossini +7 more
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Fractal Analysis of Time-Series Data Sets: Methods and Challenges
Fractal Analysis, 2018 Many methods exist for quantifying the fractal characteristics of a structure via a fractal dimension. As a traditional example, a fractal dimension of a spatial fractal structure may be quantified via a box-counting fractal analysis that probes a man ...
I. Pilgrim, Richard J. K. Taylor
semanticscholar +1 more source
Contribution to the fractal analysis of cities: A study of the metropolitan area of Milan
Cybergeo, 2004 The presentation of fractal analysis of the metropolitan area of Milan begins with a historical description of the evolution of the urbanization process of the city, in order to characterize precise and homogenous areas (from a historical point of view).
Matteo Caglioni, Rabino Giovanni
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Formation of fractal structure in many-body systems with attractive power-law potentials [PDF]
, 2005 We study the formation of fractal structure in one-dimensional many-body systems with attractive power-law potentials. Numerical analysis shows that the range of the index of the power for which fractal structure emerges is limited.
A. Fersht +8 more
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Fractal Analysis of Pi Normality [PDF]
Experimental Mathematics, 2017 \begin{abstract} $π$, the ratio between a circumference and is radius, is an irrational transcendental number. Fractal analysis is used here to show that $π$\textquoteright{s} digit sequence corresponds to a uniformly distributed random succession of independent decimal digits, and that these properties get clearer as the number of digits in the series
openaire +3 more sources
Applied Sciences, 2023 (1) Background: Fractal analysis has been used as a mathematical method for studying the complexity of fractal structures such as trabecular bone that look similar at different scales.
Alessandra Valletta +6 more
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