Title :
A transistor circuit can possess infinitely many solutions on the assumption that the first and the second derivatives of V-I curves of nonlinear resistors are positive
Author_Institution :
Dept. of Comput. Sci. & Commun. Eng., Kyushu Univ., Fukuoka, Japan
Abstract :
This paper shows that a transistor circuit can possess infinitely many solutions on the assumption that V-I curves of each nonlinear resistors have positive first and second derivatives. This result does not necessarily assert that a real transistor circuit may possess infinitely many solutions, but it seems to clarify some properties on the number of solutions
Keywords :
graph theory; network topology; nonlinear network analysis; transistor circuits; Ebers-Moll model; V-I curves; graphs; infinitely many solutions; nonlinear resistors; positive first derivatives; positive second derivatives; topology; transistor circuit; Admittance; Circuits; Computer science; Diodes; Impedance; Nonlinear equations; Resistors; Vectors;
Conference_Titel :
Circuits and Systems, 1996. ISCAS '96., Connecting the World., 1996 IEEE International Symposium on
Conference_Location :
Atlanta, GA
Print_ISBN :
0-7803-3073-0
DOI :
10.1109/ISCAS.1996.541470
