Device Modeling and Circuit Elements

  • Fernando Corinto
  • Mauro Forti
  • Leon O. Chua


This chapter discusses a device-independent black-box approach to model a broad variety of physical devices. For the purpose of network theory, a circuit element can be considered as a black-box, whose electrical behavior is defined in terms of a mathematical model (i.e., a set of algebraic and/or differential and/or integral equations), relating currents and voltages at various terminals of the device. The physical means required to implement the black-box are irrelevant. The circuit element is therefore an ideal entity, corresponding to the best abstraction and to the most suited description of a physical device.


  1. 1.
    L. Chua, Device modeling via basic nonlinear circuit elements. IEEE Trans. Circuits Syst. 27(11), 1014–1044 (1980)MathSciNetzbMATHGoogle Scholar
  2. 2.
    F. Corinto, P.P. Civalleri, L.O. Chua, A theoretical approach to memristor devices. IEEE J. Emerg. Sel. Top. Circuits Syst. 5(2), 123–132 (2015)ADSCrossRefGoogle Scholar
  3. 3.
    L.O. Chua, Memristor-The missing circuit element. IEEE Trans. Circuit Theory 18(5), 507–519 (1971)CrossRefGoogle Scholar
  4. 4.
    D.B. Strukov, G.S. Snider, D.R. Stewart, R.S. Williams, The missing memristor found. Nature 453(7191), 80–83 (2008)ADSCrossRefGoogle Scholar
  5. 5.
    L.O. Chua, C.A. Desoer, E.S. Kuh, Linear and Nonlinear Circuits (McGraw-Hill, New York, 1987)zbMATHGoogle Scholar
  6. 6.
    A.M. Kadin, Introduction to Superconducting Circuits (Wiley, Hoboken, 1999)Google Scholar
  7. 7.
    L.O. Chua, Dynamic nonlinear networks: state-of-the-art. IEEE Trans. Circuits Syst. 27(11), 1059–1087 (1980)MathSciNetCrossRefGoogle Scholar
  8. 8.
    L.O. Chua, Nonlinear circuit foundations for nanodevices. I. The four-element torus. Proc. IEEE 91(11), 1830–1859 (2003)Google Scholar
  9. 9.
    L.T. Bruton, Frequency selectivity using positive impedance converter-type networks. Proc. IEEE 56(8), 1378–1379 (1968)CrossRefGoogle Scholar
  10. 10.
    A. Antoniou, Bandpass transformation and realization using frequency-dependent negative-resistance elements. IEEE Trans. Circuit Theory 18(2), 297–299 (1971)CrossRefGoogle Scholar
  11. 11.
    A.M. Soliman, Realizations of ideal FDNC and FDNR elements using new types of mutators. Int. J. Electron. Theor. Exp. 44(3), 317–323 (1978)CrossRefGoogle Scholar
  12. 12.
    M.C. Smith, Synthesis of mechanical networks: the inerter. IEEE Trans. Autom. Control 47(10), 1648–1662 (2002)MathSciNetCrossRefGoogle Scholar

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Authors and Affiliations

  • Fernando Corinto
    • 1
  • Mauro Forti
    • 2
  • Leon O. Chua
    • 3
  1. 1.Department of Electronics & TelecommunicationsPolitecnico di TorinoTorinoItaly
  2. 2.Department of Information Engineering and MathematicsUniversity of SienaSienaItaly
  3. 3.University of CaliforniaBerkeleyUSA

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