Results 231 to 240 of about 9,626 (263)

Whitney's critical set in fractal

Chaos, Solitons & Fractals, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yong, Lin, Lifeng, Xi
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INHERENT FEATURES OF FRACTAL SETS AND KEY ATTRIBUTES OF FRACTAL MODELS

Fractals, 2022
The main goal of this work is to develop a robust framework for an exhaustive description of essential properties of a fractal object. For this purpose, the inherent features of fractal sets are scrutinized. The topological, metrological, morphological, and topographical attributes of fractal systems are delineated.
Balankin, Alexander S., Ortiz, Julián Patiño, Ortiz, Miguel Patiño   +2 more
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Fractal Schrödinger equation: implications for fractal sets

Journal of Physics A: Mathematical and Theoretical
Abstract This paper delves into the world of fractal calculus, investigating its implications for fractal sets. It introduces the Fractal Schrödinger equation and provides insights into its consequences. The study presents a general solution for the time-dependent Schrödinger equation, unveiling its core aspects.
Alireza Khalili Golmankhaneh, Stergios Pellis, Massimiliano Zingales   +2 more
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Are topographic data sets fractal?

pure and applied geophysics, 1989
The scale invariant properties of fractal sets make them attractive models for topographic profiles because those profiles are the end product of a complex system of physical processes operating over many spatial scales. If topographic data sets are fractal, their power spectra will be well represented by lines in log-log space with slopess such that ...
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On the fractal dimensions of a combined fractal set

Physics Letters A, 1989
Abstract It is generally expected, that the fractal dimensions of a combined set are equal to the maximal ones among those of all component sets. This is true for e.g. the capacity, but some other fractal dimensions of the combined set may be equal to the minimal ones (e.g. the correlation exponent) or some “middle” ones (e.g.
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Scalar Minimizers with Fractal Singular Sets

Archive for Rational Mechanics and Analysis, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
I. FONSECA, J. MALY, MINGIONE, Giuseppe
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ANALYSIS OF FUNCTIONS DEFINED ON FRACTAL SETS

Fractals, 1999
In this paper, we consider the problem of the derivation of real functions defined on sets X⊂ℝ with respect to a measure μ on X such that 0<μ(X)<∞. In order to do so, we define the concept of derivation with respect to a measure μ: the μ-derivative.
Escribano, C., Reyes, M.
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Nonchaotic fractal sets

2003
Abstract Chaotic dynamical systems and their accompanying strange attractors as described in Chapter 6 are only one way to produce fractal images. Chapter 11 showed a number of fractals produced by other methods. Two of the most important and widely known such methods are iterated function systems and Julia sets with their relatives such
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FRACTAL IMAGES OF GENERALIZED JULIA SETS

Fractals, 1996
The iteration function [Formula: see text], where both α and β are positive real numbers, is used to generate families of the generalized Julia sets, [Formula: see text]. The calculations are restricted to the principal value of zα + iβ and the obtained results demonstrate that classical Julia sets, [Formula: see text] are significantly deformed when ...
Ong, Kim-Khoon, Shiah, Aichyun, Musielak, Zdzislaw E.   +2 more
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Rectifiable and fractal sets

1991
The main topics investigated are the following: rectifiability, length, Hausdorff and packing measures and dimensions, local densities, dimensional regularity of sets, index of proximity, set independance, Minkowski-Bouligand dimension, algorithms of computation.
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