منابع مشابه
Selfsimilar Fractals and Selfsimilar Random Fractals
We survey the application of contraction mapping argments to selfsimilar (nonrandom) fractal sets, measures and functions. We review the results for selfsimilar random fractal sets and measures and show how the method and extensions also work for selfsimilar random fractal functions.
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The notion of a fractal has been widely used to describe self-similar structures [1]. The simplest way to construct a fractal is to repeat a given operation over and over again. The classical example of such a repetitive consruction is the Cantor’s “middle-third erasing” set [1]. Recall the definition of this set: One divides an interval into three equal intervals and then removes the middle in...
متن کاملTopology in Fractals
In this paper we consider the topological aspects of sets defined by fractal geometry. Topology, as a geometry, is extended to the definition of fractal structures by characterising equivalences in different levels of detail. A group of distinct topological fractals are defined by taking the equipotence and multiplicity properties of sets. Additionally, we define fractal metamorphosis as the se...
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Geophysical phenomena of interest to geoscientists include both atmospheric and terrestrial related processes, which can be either static or dynamic. Characterization of such phenomena requires advanced models which often include scale invariance concepts of fractal or multi-fractal type. Recently, there has been much interdisciplinary interest in the application of geophysical processes. The a...
متن کاملInvariance And Inner Fractals In Polynomial And Transcendental Fractals
A lot of formal and informal recreational study took place in the fields of Meromorphic Maps, since Mandelbrot popularized the map z ← z + c. An immediate generalization of the Mandelbrot z ← z + c also known as the Multibrot family were also studied. In the current paper, general truncated polynomial maps of the form z ← ∑ p≥2 apx p + c are studied. Two fundamental properties of these polynomi...
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ژورنال
عنوان ژورنال: Journal of Mechanics of Materials and Structures
سال: 2011
ISSN: 1559-3959,1559-3959
DOI: 10.2140/jomms.2011.6.351