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J. Bifurcation Chaos"],"published-print":{"date-parts":[[2016,11]]},"abstract":"<jats:p> In this paper, we investigate the global dynamics of a memristor oscillator [Formula: see text] which comes from [Corinto et al., 2011], where [Formula: see text], and [Formula: see text]. Clearly, the case [Formula: see text] is trivial. So far, all results of this oscillator were given only for the case [Formula: see text], where the set of equilibria may change among a singleton, three points and a singular continuum and at most one limit cycle can arise and no limit cycles arise from the continuum. Compared with the case [Formula: see text], this oscillator displays more complicated dynamics for the case when [Formula: see text]. More clearly, one limit cycle may arise from the continuum and at most three limit cycles appear in the case of three equilibria, where generalized pitchfork bifurcation, saddle-node bifurcation, generalized Hopf bifurcation, double limit cycle bifurcation and homoclinic bifurcation may occur. Finally all global phase portraits are given for [Formula: see text] cases on the Poincar\u00e9 disc, where a generalized normal sector method is applied. Moreover, our partial analytical results are demonstrated by numerical examples. <\/jats:p>","DOI":"10.1142\/s0218127416501984","type":"journal-article","created":{"date-parts":[[2016,11,22]],"date-time":"2016-11-22T02:46:26Z","timestamp":1479782786000},"page":"1650198","source":"Crossref","is-referenced-by-count":9,"title":["Global Dynamics of Memristor Oscillator"],"prefix":"10.1142","volume":"26","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1601-1014","authenticated-orcid":false,"given":"Hebai","family":"Chen","sequence":"first","affiliation":[{"name":"School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu, Sichuan 610031, P. R. 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