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In fact, they emerge through a codimension three steady-state bifurcation of three modes with wave numbers in a 2:3:4 ratio. While cycles are known to exist in the mode-2 and mode-4 interactions, here we show that mode-3 destabilizes the connection so that only remnants, i.e. intermittent flame patterns of the cycles can be observed. <\/jats:p>","DOI":"10.1142\/s0218127411028428","type":"journal-article","created":{"date-parts":[[2011,2,1]],"date-time":"2011-02-01T05:13:53Z","timestamp":1296537233000},"page":"287-304","source":"Crossref","is-referenced-by-count":0,"title":["INTERMITTENCY NEAR A CODIMENSION THREE STEADY-STATE BIFURCATION"],"prefix":"10.1142","volume":"21","author":[{"given":"PETER","family":"BLOMGREN","sequence":"first","affiliation":[{"name":"Nonlinear Dynamical Systems Group, Department of Mathematics &amp; Statistics, San Diego State University, San Diego, CA 92182-7720, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"JOAN MANUEL","family":"MARTINEZ","sequence":"additional","affiliation":[{"name":"Nonlinear Dynamical Systems Group, Department of Mathematics &amp; Statistics, San Diego State University, San Diego, CA 92182-7720, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"ANTONIO","family":"PALACIOS","sequence":"additional","affiliation":[{"name":"Nonlinear Dynamical Systems Group, Department of Mathematics &amp; Statistics, San Diego State University, San Diego, CA 92182-7720, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(88)90032-2"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611971538"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.72.036701"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1063\/1.1848311"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/4\/3\/005"},{"key":"rf6","volume-title":"New Trends in Nonlinear Dynamics and Pattern Forming Phenomena","author":"Chat\u00e9 H.","year":"1990"},{"key":"rf7","first-page":"50","volume":"3","author":"Crank J.","journal-title":"Proc. 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