The Topological Conditions: The Properties of the Pair of Conjugate Tress
Affiliation(s)
Electronics Department, National Institute for Astrophysics, Optics and Electronics, P.O. Puebla, Pue. Mexico.
Electronics Department, National Institute for Astrophysics, Optics and Electronics, P.O. Puebla, Pue. Mexico.
ABSTRACT
This paper presents some important properties emanating from the pair of conjugate trees. The properties are obtained by resorting to the fundamental loops and cutsets in the circuit topology. The existence of such a pair is one of the conditions for a nonlinear resistive circuit to have one and only one DC solution.
This paper presents some important properties emanating from the pair of conjugate trees. The properties are obtained by resorting to the fundamental loops and cutsets in the circuit topology. The existence of such a pair is one of the conditions for a nonlinear resistive circuit to have one and only one DC solution.
KEYWORDS
Pair of Conjugate Trees, Topological Conditions, Fundamental Cutsets and Loops, Analogue Circuits
Pair of Conjugate Trees, Topological Conditions, Fundamental Cutsets and Loops, Analogue Circuits
Cite this paper
nullL. Hernandez-Martinez, A. Sarmiento-Reyes and M. Gutierrez de Anda, "The Topological Conditions: The Properties of the Pair of Conjugate Tress," Journal of Software Engineering and Applications, Vol. 3 No. 6, 2010, pp. 517-524. doi: 10.4236/jsea.2010.36059.
nullL. Hernandez-Martinez, A. Sarmiento-Reyes and M. Gutierrez de Anda, "The Topological Conditions: The Properties of the Pair of Conjugate Tress," Journal of Software Engineering and Applications, Vol. 3 No. 6, 2010, pp. 517-524. doi: 10.4236/jsea.2010.36059.
References
[1] A. F. Schwarz, “Computer-Aided Design of Microelec- tronic Circuits and Systems,” Academic Press, Cambridge, Vol. 1, 1987. [2] J. Vlach and K. Singhal, “Computer Methods for Circuit Analysis and Design,” Van Nostrand Reinhold Company, New York, 1983. [3] M. Hasler, “Stability of Parasitic Dynamics at a dc- Operating Point: Topological Analysis,” Proceedings of the IEEE International Symposium on Circuits and Sys- tems, Singapore, 1991, pp. 770-773. [4] N. Tetsuo and C. Leon~O, “Topological Conditions for a Resistive Circuit Containing Negative Non-Linear Resis- tors to Have a Unique Solution,” International Journal on Circuit Theory and Applications, Vol. 15, Vol. 2, July 1987, pp. 193-210. [5] M. Fosseprez, M. Hasler and C. Schnetzler, “On the Num- ber of Solutions of Piecewise-Linear Resistive Circuits,” IEEE Transactions on Circuits and Systems, Vol. 18, No. 3, March 1989, pp. 393-402. [6] M. Fossèprez and M. Hasler, “Resistive Circuit Topolo- gies that Admit Several Solutions,” International Journal on Circuit Theory and Applications, Vol. 18, No. 6, Dece- mber 1990, pp. 625-638.
[1] A. F. Schwarz, “Computer-Aided Design of Microelec- tronic Circuits and Systems,” Academic Press, Cambridge, Vol. 1, 1987. [2] J. Vlach and K. Singhal, “Computer Methods for Circuit Analysis and Design,” Van Nostrand Reinhold Company, New York, 1983. [3] M. Hasler, “Stability of Parasitic Dynamics at a dc- Operating Point: Topological Analysis,” Proceedings of the IEEE International Symposium on Circuits and Sys- tems, Singapore, 1991, pp. 770-773. [4] N. Tetsuo and C. Leon~O, “Topological Conditions for a Resistive Circuit Containing Negative Non-Linear Resis- tors to Have a Unique Solution,” International Journal on Circuit Theory and Applications, Vol. 15, Vol. 2, July 1987, pp. 193-210. [5] M. Fosseprez, M. Hasler and C. Schnetzler, “On the Num- ber of Solutions of Piecewise-Linear Resistive Circuits,” IEEE Transactions on Circuits and Systems, Vol. 18, No. 3, March 1989, pp. 393-402. [6] M. Fossèprez and M. Hasler, “Resistive Circuit Topolo- gies that Admit Several Solutions,” International Journal on Circuit Theory and Applications, Vol. 18, No. 6, Dece- mber 1990, pp. 625-638.