{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,4]],"date-time":"2026-10-04T18:06:26Z","timestamp":1791137186069,"version":"4.1.0"},"reference-count":41,"publisher":"Acoustical Society of America (ASA)","issue":"1","content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2012,7,1]]},"abstract":"<jats:p>This paper analyzes the interaction between the vocal folds and vocal tract at phonation onset due to the acoustical coupling between both systems. Data collected from a mechanical replica of the vocal folds show that changes in vocal tract length induce fluctuations in the oscillation threshold values of both subglottal pressure and frequency. Frequency jumps and maxima of the threshold pressure occur when the oscillation frequency is slightly above a vocal tract resonance. Both the downstream and upstream vocal tracts may produce those same effects. A simple mathematical model is next proposed, based on a lumped description of tissue mechanics, quasi-steady flow and one-dimensional acoustics. The model shows that the frequency jumps are produced by saddle-node bifurcations between limit cycles forming a classical pattern of a cusp catastrophe. The transition from a low frequency oscillation to a high frequency one may be achieved through two different paths: in case of a large acoustical coupling (narrow vocal tract) or high subglottal pressure, the bifurcations are crossed, which causes a frequency jump with a hysteresis loop. By reducing the acoustical coupling (wide vocal tract) or the subglottal pressure, a path around the bifurcations may be followed with a smooth frequency variation.<\/jats:p>","DOI":"10.1121\/1.4728170","type":"journal-article","created":{"date-parts":[[2012,7,11]],"date-time":"2012-07-11T22:58:50Z","timestamp":1342047530000},"page":"403-411","update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":39,"title":["Effect of source\u2013tract acoustical coupling on the oscillation onset of the vocal folds"],"prefix":"10.1121","volume":"132","author":[{"given":"Jorge C.","family":"Lucero","sequence":"first","affiliation":[{"name":"University of Brasilia Department of Computer Science, , Brasilia DF 70910-900, Brazil"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"K\u00e9lem G.","family":"Louren\u00e7o","sequence":"additional","affiliation":[{"name":"University of Brasilia Department of Mathematics, , Brasilia DF 70910-900, Brazil"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Nicolas","family":"Hermant","sequence":"additional","affiliation":[{"name":"Grenoble Universities GIPSA-lab, UMR CNRS 5216, , 961 rue de la Houille Blanche, BP 46, 38402 Saint-Martin d\u2019Heres, France"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Annemie","family":"Van Hirtum","sequence":"additional","affiliation":[{"name":"Grenoble Universities GIPSA-lab, UMR CNRS 5216, , 961 rue de la Houille Blanche, BP 46, 38402 Saint-Martin d\u2019Heres, France"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xavier","family":"Pelorson","sequence":"additional","affiliation":[{"name":"Grenoble Universities GIPSA-lab, UMR CNRS 5216, , 961 rue de la Houille Blanche, BP 46, 38402 Saint-Martin d\u2019Heres, France"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"231","published-online":{"date-parts":[[2012,7,10]]},"reference":[{"key":"2023080401552817200_c1","doi-asserted-by":"crossref","first-page":"550","DOI":"10.1177\/000348940111000609","article-title":"Aerodynamic profiles of a hemilarynx with a vocal tract","volume":"110","year":"2001","journal-title":"Ann. 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