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Memristive circuits systematically yield manifolds of nonisolated equilibria, and in this paper we address a systematic characterization of the TBWP in circuits with a single memristor. To achieve this we develop two mathematical results of independent interest; the first is an extension of the TBWP theorem to explicit ordinary differential equations (ODEs) in arbitrary dimension; the second result drives the characterization of this phenomenon to semiexplicit differential-algebraic equations (DAEs), which provide the appropriate framework for the analysis of circuit dynamics. In the circuit context the analysis is performed in graph-theoretic terms: in this setting, our first working scenario is restricted to passive problems (an exception is made for the bifurcating memristor), and in a second step some results are presented for the analysis of nonpassive cases. The latter context is illustrated by means of a memristive neural network model.<\/jats:p>","DOI":"10.1137\/16m1076009","type":"journal-article","created":{"date-parts":[[2018,1,30]],"date-time":"2018-01-30T14:14:42Z","timestamp":1517321682000},"page":"395-417","source":"Crossref","is-referenced-by-count":14,"title":["Transcritical Bifurcation without Parameters in Memristive Circuits"],"prefix":"10.1137","volume":"78","author":[{"given":"Ricardo","family":"Riaza","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2018,1,30]]},"reference":[{"key":"atypb1","doi-asserted-by":"crossref","unstructured":"A. Adamatzky and L. O. Chua, eds.\n                      Memristor Networks\n                      , Springer, New York, 2014.","DOI":"10.1007\/978-3-319-02630-5"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2012.2204770"},{"key":"atypb3","unstructured":"B. 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