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On series connection of infinitely many RLC two-ports

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Abstract

In this paper we study the asymptotic behaviour of infinite systems of first- and second-order linear differential equations arising from the series connection of infinitely many identical RLC two-ports. These systems exhibit nearest-neighbour dynamics that arise in many aspects of classical and modern physics. We study both the “no capacitor” case, which is a first-order system, and the second-order systems that correspond to damped and undamped oscillators.

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Authors and Affiliations

  1. Mathematics, Ben Gurion University of the Negev, Beersheva, Israel

    Avraham Feintuch

  2. Electrical and Computer Engineering, University of Toronto, Toronto, Canada

    Bruce Francis

Authors
  1. Avraham Feintuch
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  2. Bruce Francis
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Correspondence to Avraham Feintuch.

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Feintuch, A., Francis, B. On series connection of infinitely many RLC two-ports. Math. Control Signals Syst. 28, 2 (2016). https://doi.org/10.1007/s00498-015-0155-0

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  • DOI: https://doi.org/10.1007/s00498-015-0155-0

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