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The bifurcation analysis combines different tools coming from graph theory (such as proper trees in circuit digraphs, Maxwell's determinantal expansions or the colored branch theorem) with several results from linear algebra (matrix pencils, the Cauchy\u2013Binet formula, Schur complements). Several examples illustrate the results. <\/jats:p>","DOI":"10.1142\/s0218127410025533","type":"journal-article","created":{"date-parts":[[2010,4,16]],"date-time":"2010-04-16T04:05:38Z","timestamp":1271390738000},"page":"451-465","source":"Crossref","is-referenced-by-count":6,"title":["GRAPH-THEORETIC CHARACTERIZATION OF BIFURCATION PHENOMENA IN ELECTRICAL CIRCUIT DYNAMICS"],"prefix":"10.1142","volume":"20","author":[{"given":"RICARDO","family":"RIAZA","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1tica Aplicada a las Tecnolog\u00edas de la Informaci\u00f3n, ETSI Telecomunicaci\u00f3n, Universidad Polit\u00e9cnica de Madrid, Ciudad Universitaria s\/n \u2013 28040 Madrid, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,5,2]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/S1007-5704(03)00104-7"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1037-5"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2004.832741"},{"key":"rf4","volume-title":"Electrical Network Theory","author":"Balabanian N.","year":"1969"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1109\/TCT.1957.1086361"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1023\/A:1019166725822"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1137\/S089547989936457X"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127402004188"},{"key":"rf9","volume-title":"Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations","author":"Brenan K. 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