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Also, the oscillation offset occurs at a cyclic fold bifurcation, at which the unstable limit cycle and a stable limit cycle (the actual vocal fold oscillation) coalesce and cancel each other. Both bifurcations combine to form an \u201coscillation hysteresis\u201d phenomenon, common in cases of flow-induced oscillations. An analytical expression for the onset\/offset ratio of parameters is derived. The onset\/offset ratio is in the range of 0.5\u20131, in agreement with the experimental evidence. This value depends on the phase delay in motion of the upper edge of the vocal folds versus the lower edge, and on the particular model adopted for airflow separation within the glottis.<\/jats:p>","DOI":"10.1121\/1.424572","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T14:06:16Z","timestamp":1027692376000},"page":"423-431","update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":86,"title":["A theoretical study of the hysteresis phenomenon at vocal fold oscillation onset\u2013offset"],"prefix":"10.1121","volume":"105","author":[{"given":"Jorge C.","family":"Lucero","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1tica, Universidade de Bras\u0131\u0301lia, 70910-900\u2009Bras\u0131\u0301lia\u2009DF, Brazil"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"231","reference":[{"key":"2023071405174973500_app","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1080\/14786442208633861","article-title":"On a type of oscillation-hysteresis in a simple triode generator","volume":"43","year":"1922","journal-title":"Philos. 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