Results 301 to 307 of about 957,336 (307)

Network Box Counting Dimension

2020
In this chapter we begin our detailed study of fractal dimensions of a network \(\mathbb {G}\). There are two approaches to calculating a fractal dimension of \(\mathbb {G}\). One approach, applicable if \(\mathbb {G}\) is a spatially embedded network, is to treat \(\mathbb {G}\) as a geometric object and apply techniques, such as box counting or ...
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BOX DIMENSIONS OF α-FRACTAL FUNCTIONS

Fractals, 2016
The box dimension of the graph of non-affine, continuous, nowhere differentiable function [Formula: see text] which is a fractal analogue of a continuous function [Formula: see text] corresponding to a certain iterated function system (IFS), is investigated in the present paper.
M. A. Navascués, M. Guru Prem Prasad, Md. Nasim Akhtar   +2 more
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Bounding the box-counting dimension of attractors

2010
Powerful techniques are available for bounding the box-counting dimension of attractors in Hilbert spaces, the case most often encountered in applications. The most widely-used method was developed for finite-dimensional dynamical systems by Douady & Oesterle (1980), and was extended to treat subsets of infinite-dimensional Hilbert spaces by Constantin
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Box-counting dimension

2010
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Box dimension and Minkowski content of the clothoid

2008
We prove that the box dimension of the standard clothoid is equal to d=4/3. Futhermore, this curve is Minkowski measurable, and we compute its d-dimensional Minkowski content. Our method applies to p-clothoid.
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The box dimension of a class of degenerate foci

2017
We study a class of polynomial planar systems with singularity of focus type without characteristic directions. A simple and natural transformation of a weak focus has been used to obtain such degenerate focus. We compute the box dimension of a spiral trajectory and show the connection to cyclicity, of the system $$ \begin{;array};{;ccl}; \dot x&=&-y^{;
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Typical multifractal box dimensions of measures

Fundamenta Mathematicae, 2011
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