Iterated networks and the spectra of renormalizable electromechanical systems |
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Authors: | M F Barnsley T D Morley E R Vrscay |
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Institution: | (1) Georgia Institute of Technology, School of Mathematics, 30332 Atlanta, Georgia |
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Abstract: | Beginning with anLRC network with impedance functionZ(), a sequence of iterated networksN
k with impedance functionsZ
k(), k= 1, 2, 3,..., is introduced. The asymptotic comportment ofZ
k() and the spectra ofN
k are analyzed in terms of the Julia set ofZ. An example is given of an iterated network associated with a cascade of period-doubling bifurcations. |
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Keywords: | Fractals Julia set iteration |
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