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IEICE TRANSACTIONS on Fundamentals

On the Number of Solutions of Nonlinear Resistive Circuits

Tetsuo NISHI, Yuji KAWANE

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Summary :

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 (2n) of solutions and further the extension of this result is discussed.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E74-A No.3 pp.479-487
Publication Date
1991/03/25
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Type of Manuscript
INVITED PAPER
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