On models of fractal networks
Copyright policy )On models of fractal networks
AbstractA couple of iterative models for the theoretical study of fractal networks whose topologies are generated via iterated function systems is presented: a lumped‐parameter impedor‐oriented one and a two‐port‐network‐oriented one. With the former, the voltage and current patterns give a detailed understanding of the electromagnetic fields' self‐similar distribution throughout the network; on the other hand, model complexity exponentially increases with the prefractal iteration order. The latter ‘black‐box’ model only controls port‐oriented global parameters that are the ones commonly used in the integration of different electronic systems, and its complexity is independent of prefractal order. Sierpinski gasket and carpet topologies are reported as examples. Copyright © 2008 John Wiley & Sons, Ltd.
iterated function system (IFS), network model; current distribution; fractal; iterated function system; IFS; iterative methods; Sierpinski gasket; two-port networks, Fractals, fractal, Analytic circuit theory, iterative methods, Sierpiński gasket, network model, current distribution, Approximation algorithms, two-port networks
iterated function system (IFS), network model; current distribution; fractal; iterated function system; IFS; iterative methods; Sierpinski gasket; two-port networks, Fractals, fractal, Analytic circuit theory, iterative methods, Sierpiński gasket, network model, current distribution, Approximation algorithms, two-port networks
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