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We make some comparisons between the two methods for computing GH points and discuss briefly the merits of three methods for computing curves of Hopf points.<\/jats:p>","DOI":"10.1137\/s0036142999352552","type":"journal-article","created":{"date-parts":[[2003,6,11]],"date-time":"2003-06-11T11:12:06Z","timestamp":1055329926000},"page":"329-346","source":"Crossref","is-referenced-by-count":24,"title":["Numerical Methods for the Generalized Hopf Bifurcation"],"prefix":"10.1137","volume":"38","author":[{"given":"W.","family":"Govaerts","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yu. A.","family":"Kuznetsov","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"B.","family":"Sijnave","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,26]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1152\/jn.1992.67.2.332"},{"key":"R2","first-page":"637","volume":"242","author":"Bykov V. I.","year":"1978","journal-title":"Dokl. Akad. Nauk SSSR","ISSN":"https:\/\/id.crossref.org\/issn\/0002-3264","issn-type":"print"},{"key":"R3","unstructured":"G. Golub and C. F. Van Loan,\n                      Matrix Computations\n                      , 3rd ed., The John Hopkins University Press, Baltimore, 1996."},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1152\/jn.1992.67.2.318"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142995282182"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1145\/293686.293693"},{"key":"R7","doi-asserted-by":"crossref","unstructured":"W. Govaerts, Yu. A. Kuznetsov, and B. Sijnave,\n                      Continuation of codimension\u20102 equilibrium bifurcations in\n                      content, in Numerical Methods for Bifurcation Problems and Large Scale Dynamical Systems, E. Doedel and L. Tuckermann, eds., IMA Vol. Math. Appl. 119, Springer\u2010Verlag, 2000, pp. 163\u2013184.","DOI":"10.1007\/978-1-4612-1208-9_7"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898719543"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1093\/imanum\/3.3.295"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1016\/0377-0427(89)90152-0"},{"key":"R11","doi-asserted-by":"crossref","unstructured":"J. Guckenheimer and P. Holmes,\n                      Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields\n                      , Appl. Math. Sci. 42, Springer\u2010Verlag, New York, Berlin, 1983.","DOI":"10.1007\/978-1-4612-1140-2"},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142993253461"},{"key":"R13","unstructured":"B. Hassard, N. D. Kazarinoff, and Y. H. 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Levitin,\n                      A multiplatform environment for analyzing dynamical systems\n                      , Dynamical Systems Laboratory, CWI, Amsterdam, 1995\u20101997 (ftp.cwi.nl\/pub\/CONTENT)."},{"key":"R20","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142998335005"},{"key":"R21","doi-asserted-by":"publisher","DOI":"10.1137\/0717048"},{"key":"R22","doi-asserted-by":"publisher","DOI":"10.1007\/BF02241778"},{"key":"R23","doi-asserted-by":"publisher","DOI":"10.1007\/BF02307709"},{"key":"R24","unstructured":"J. Rinzel,\n                      Integration and propagation of neuroelectric signals\n                      , in Studies in Mathematical Biology, S. Levin, ed., Mathematical Association of America 15, Washington D. C., 1978, pp. 1\u201366."},{"key":"R25","doi-asserted-by":"publisher","DOI":"10.1007\/BF01390419"},{"key":"R26","doi-asserted-by":"publisher","DOI":"10.1063\/1.459996"},{"key":"R27","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1521-4001(199812)78:12<807::AID-ZAMM807>3.0.CO;2-C"}],"container-title":["SIAM Journal on Numerical Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S0036142999352552","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T15:45:46Z","timestamp":1787327146000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/S0036142999352552"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,1]]},"references-count":27,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2000,1]]}},"alternative-id":["10.1137\/S0036142999352552"],"URL":"https:\/\/doi.org\/10.1137\/s0036142999352552","relation":{},"ISSN":["0036-1429","1095-7170"],"issn-type":[{"value":"0036-1429","type":"print"},{"value":"1095-7170","type":"electronic"}],"subject":[],"published":{"date-parts":[[2000,1]]}}}