Hasler, Martin Non-linear non-reciprocal resistive circuits with a structurally unique solution. (English) Zbl 0621.94022 Int. J. Circuit Theory Appl. 14, 237-262 (1986). A purely topological criterion is given, which allows one to determine when a non-linear non-reciprocal resistive circuit has exactly one solution, irrespective of its element characteristics. If the criterion is satisfied then it is shown that the solution has the same regularity as the element characteristics. Cited in 1 ReviewCited in 6 Documents MSC: 94C05 Analytic circuit theory 94C15 Applications of graph theory to circuits and networks Keywords:topological criterion; non-linear non-reciprocal resistive circuit PDFBibTeX XMLCite \textit{M. Hasler}, Int. J. Circuit Theory Appl. 14, 237--262 (1986; Zbl 0621.94022) Full Text: DOI References: [1] (ed.), Nonlinear Networks: Theory and Analysis, IEEE Press, New York, 1974. [2] Nielson, Proc. IEEE 68 pp 196– (1980) [3] Nishi, IEEE Trans. Circuits and Systems CAS-31 pp 722– (1984) [4] Nishi, Int. J. Cir. Theor. Appl. 12 pp 145– (1984) [5] and , ’Topological proof of the Nielson-Willson theorem’, UCB/ERL Memo, 1985. [6] RC-Active Circuits: Theory and Design, Prentice-Hall, Englewood Cliffs N. J., 1980. [7] Recski, IEEE Trans. Circuits and Systems CAS-31 pp 894– (1984) [8] Applied Graph Theory, North-Holland, Amsterdam, 1976. [9] Vandewalle, IEEE Trans. Circuits and Systems CAS-27 pp 816– (1980) [10] Elementary Classical Analysis, Freeman, San Francisco, 1974. · Zbl 0285.26005 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.