• DocumentCode
    2828860
  • Title

    On the number of solutions of a class of nonlinear resistive circuits

  • Author

    Nishi, Tetsuo

  • Author_Institution
    Dept. of Comput. Sci. & Commun. Eng., Kyushu Univ., Fukuoka, Japan
  • fYear
    1991
  • fDate
    11-14 Jun 1991
  • Firstpage
    766
  • Abstract
    The author deals with the number of solutions of equations of nonlinear resistive circuits composed of linear and nonlinear one-port resistors, linear active elements, and DC sources. By referring to the V-I characteristics of real diodes it is assumed that the second derivative as well as the first derivative of the V- I characteristics of nonlinear resistors are positive. The necessary and sufficient conditions are given for the equation to have a finite number (⩽2n) of solutions. The extension of this result is discussed
  • Keywords
    nonlinear equations; nonlinear network analysis; DC sources; V-I characteristics; first derivative; linear active elements; nonlinear resistive circuits; number of solutions; one-port resistors; second derivative; Circuits; Computer science; Diodes; Nonlinear equations; Resistors; Sufficient conditions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 1991., IEEE International Sympoisum on
  • Print_ISBN
    0-7803-0050-5
  • Type

    conf

  • DOI
    10.1109/ISCAS.1991.176475
  • Filename
    176475
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2828860