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We apply the techniques to a model of a chemical reactor, a model of an electronic circuit, and a model from celestial mechanics. Our algorithms have been implemented in freely available software. <\/jats:p>","DOI":"10.1142\/s0218127405012491","type":"journal-article","created":{"date-parts":[[2005,5,31]],"date-time":"2005-05-31T12:20:40Z","timestamp":1117542040000},"page":"841-860","source":"Crossref","is-referenced-by-count":23,"title":["NUMERICAL CONTINUATION OF BRANCH POINTS OF EQUILIBRIA AND PERIODIC ORBITS"],"prefix":"10.1142","volume":"15","author":[{"given":"E. J.","family":"DOEDEL","sequence":"first","affiliation":[{"name":"Department of Computer Science, Concordia University, 1455 Boulevard de Maisonneuve O., Montr\u00e9al Qu\u00e9bec, H3G 1M8, Canada"}]},{"given":"W.","family":"GOVAERTS","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics and Computer Science, Ghent University, Krijgslaan 281-S9, B-9000 Gent, Belgium"}]},{"given":"YU. 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