This paper deals with the number of solutions of circuit equations of nonlinear resistive circuits composed of linear and nonlinear one-port resistors, dc sources and linear active elements. By referring to the v-i characteristics of real diodes we assume that the second derivative as well as the first derivative of the v-i characteristics of nonlinear resistors is positive. The necessary and sufficient conditions are given for the equation to have a finite number (
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Copy
Tetsuo NISHI, Yuji KAWANE, "On the Number of Solutions of Nonlinear Resistive Circuits" in IEICE TRANSACTIONS on Fundamentals,
vol. E74-A, no. 3, pp. 479-487, March 1991, doi: .
Abstract: This paper deals with the number of solutions of circuit equations of nonlinear resistive circuits composed of linear and nonlinear one-port resistors, dc sources and linear active elements. By referring to the v-i characteristics of real diodes we assume that the second derivative as well as the first derivative of the v-i characteristics of nonlinear resistors is positive. The necessary and sufficient conditions are given for the equation to have a finite number (
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e74-a_3_479/_p
Copy
@ARTICLE{e74-a_3_479,
author={Tetsuo NISHI, Yuji KAWANE, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={On the Number of Solutions of Nonlinear Resistive Circuits},
year={1991},
volume={E74-A},
number={3},
pages={479-487},
abstract={This paper deals with the number of solutions of circuit equations of nonlinear resistive circuits composed of linear and nonlinear one-port resistors, dc sources and linear active elements. By referring to the v-i characteristics of real diodes we assume that the second derivative as well as the first derivative of the v-i characteristics of nonlinear resistors is positive. The necessary and sufficient conditions are given for the equation to have a finite number (
keywords={},
doi={},
ISSN={},
month={March},}
Copy
TY - JOUR
TI - On the Number of Solutions of Nonlinear Resistive Circuits
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 479
EP - 487
AU - Tetsuo NISHI
AU - Yuji KAWANE
PY - 1991
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E74-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 1991
AB - This paper deals with the number of solutions of circuit equations of nonlinear resistive circuits composed of linear and nonlinear one-port resistors, dc sources and linear active elements. By referring to the v-i characteristics of real diodes we assume that the second derivative as well as the first derivative of the v-i characteristics of nonlinear resistors is positive. The necessary and sufficient conditions are given for the equation to have a finite number (
ER -