Results 41 to 50 of about 128,827 (147)

Fractal Dimension Analysis of the Julia Sets of Controlled Brusselator Model

open access: yesDiscrete Dynamics in Nature and Society, 2016
Fractal theory is a branch of nonlinear scientific research, and its research object is the irregular geometric form in nature. On account of the complexity of the fractal set, the traditional Euclidean dimension is no longer applicable and the ...
Yuqian Deng   +2 more
doaj   +1 more source

Drivers of Forest Structural Complexity in Mountain Forests of Nepal

open access: yesMountain Research and Development
Forests in the Himalayan region are crucial for maintaining the region's ecological balance, conserving biodiversity, and supporting the livelihoods of local people.
Prakash Basnet   +4 more
doaj   +1 more source

Box Dimension and Cyclicity of Canard Cycles [PDF]

open access: yesQualitative Theory of Dynamical Systems, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Bypassing dynamical systems: a simple way to get the box-counting dimension of the graph of the Weierstrass function

open access: yesPracì Mìžnarodnogo Geometričnogo Centru, 2018
In the following, bypassing dynamical systems tools, we propose a simple means of computing the box dimension of the graph of the classical Weierstrass function defined, for any real number~$x$, by \[{\mathcal W}(x)= \sum_{n=0}^{+\infty} \lambda^n\,\cos \
Claire David
doaj   +1 more source

Research on Rapid Evaluation of Rock Mass Quality Based on Ultrasonic Borehole Imaging Technology and Fractal Method

open access: yesAdvances in Materials Science and Engineering, 2021
The distribution of discontinuities in the deep stratigraphic rock mass is random and irregular, and the spatial distribution has statistical self-similarity, which can be analyzed by fractal theory.
Yuezheng Zhang   +3 more
doaj   +1 more source

Research on the Planning of Municipal Pipe in Tibet Bayi Town Center Area Based on Fractal

open access: yesChemical Engineering Transactions, 2015
In this paper, to achieve rational distribution of municipal pipe network in Bayi Town Centre Area, Box dimension and Rank dimension are used to carry out evaluation studies on the planning of water supply network and drainage network in Bayi Town.
Y.C. Zong, G.D. Lu, Z. He, J.L. Jin
doaj   +1 more source

SIFAT MEKANIS GELAGAR KOTAK PERCOBAAN UNTUK KAYU KONSTRUKSI

open access: yesJurnal Penelitian Hasil Hutan (Journal of Forest Products Research), 2017
Experimental    laminated   box  beam  were  constructed    for  their  mechanical  properties  test.  The pile  component  of box  beam  was prepared  consisting  of  solid  wood   as upperside  and  downside   flange  and plywood  or particleboard   as
Marolop Sinaga   +3 more
doaj   +1 more source

FRACTAL DIMENSION AND LACUNARITY COMBINATION FOR PLANT LEAF CLASSIFICATION

open access: yesJurnal Ilmu Komputer dan Informasi, 2016
Plants play important roles for the existence of all beings in the world. High diversity of plant’s species make a manual observation of plants classifying becomes very difficult. Fractal dimension is widely known feature descriptor for shape or texture.
Mutmainnah Muchtar   +2 more
doaj   +1 more source

Study on rolling bearing fault diagnosis approach based on improved generalized fractal box-counting dimension and adaptive gray relation algorithm

open access: yesAdvances in Mechanical Engineering, 2016
Aiming at the nonlinear and nonstationary characteristics of bearing vibration signals as well as the complexity of condition-indicating information distribution in the signals, a novel rolling element bearing fault diagnosis approach based on improved ...
Yunpeng Cao   +4 more
doaj   +1 more source

Combining Fractals and Box-Counting Dimension

open access: yesApplied Mathematics, 2021
In this paper, the box-counting dimension is used to derive an explicit formula for the dimension of a fractal constructed using several contractions or by combining fractals. This dimension agrees with the Hausdorff dimension in the particular case when the scales factors considered are all the same.
openaire   +2 more sources

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