Abstract
Beginning with anLRC network with impedance functionZ(Ω), a sequence of iterated networksN k with impedance functionsZ‡ k(Ω), k= 1, 2, 3,..., is introduced. The asymptotic comportment ofZ‡ k(Ω) 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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Barnsley, M.F., Morley, T.D. & Vrscay, E.R. Iterated networks and the spectra of renormalizable electromechanical systems. J Stat Phys 40, 39–67 (1985). https://doi.org/10.1007/BF01010526
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DOI: https://doi.org/10.1007/BF01010526