An essential discussion of the popular science and mathematics behind fractals reveals how fractal shapes can be found everywhere in nature from clouds to coastlines, explaining how basic concepts in fractal geometry produced a revolution in mathematical understandings of patterns in the 20th century. Original.
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R.M. Crownover, Introduction to Fractals and Chaos (Jones and Bartlett Publishers, London, 1995) Google Scholar K. Falconer, Fractal Geometry: Mathematical Foundations and Applications (Wiley, New York, 2003) Book Google Scholar K. Falconer, Fractals: A Very Short Introduction (Oxford Universit...
An MSA (also called patch antenna) is a two-dimensional flat structure consisting of a very thin metallic strip placed on a ground plane with a dielectric material in between; this dielectric material is called the substrate. The performance and radiation properties of an antenna can be improved...
K. Falconer,Fractals: A Very Short Introduction, Oxford University Press, Oxford, 2013. BookGoogle Scholar K. Falconer,Fractal Geometry: Mathematical Foundations and Applications, John Wiley and Sons, New York, 2003. BookGoogle Scholar K.J. Falconer and B. Lammering, Fractal properties of general...
https://mrl.cs.nyu.edu/~perlin/paper445.pdf. Further Reading Learn more about fractals, noise, and state variables in these related blog posts: Using the Application Builder to Create a Koch Snowflake Introduction to Efficiently Modeling Antennas in COMSOL Multiphysics® Recursion and Recursively...
a book that makes it possible to get a good deal of knowledge about complex chaotic phenomena in nonlinear oscillators without deep mathematical study. Chaos, Bifurcations and Fractals Around Us: A Brief Introduction fills that gap. It is a very short monograph that, owing to geometric interpretat...
So, the main tool for the description of fractal geometry is a dimension, in many forms. In a large simplification, the dimension determines how much space has been filled. This is a measure of how many are exposed irregularities when we look at in a very small scale. The dimension ...
A short course on an introduction to applied nonlinear dynamics—bifurcations, fractals and chaos in heat transfer and fluid flowcoming outcondom useChinesehomosexualityABSTRACTdoi:10.1016/0301-9322(93)90084-8Carlos M GuerreroBosagnaPablo Sabat
A common first step in analyzing adynamicalsystem is to determine which initial states exhibit similar behavior. Because nearby states often lead to very similar behaviour, they can usually be grouped into continuous sets or graphical regions. If the system is not chaotic, this geometric decompositio...