{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,9]],"date-time":"2025-10-09T11:18:46Z","timestamp":1760008726803},"reference-count":18,"publisher":"World Scientific Pub Co Pte Lt","issue":"11","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2003,11]]},"abstract":"<jats:p> We numerically compute solutions to the vector Ginzburg\u2013Landau equation with a triple-well potential. We use the Galerkin Newton Gradient Algorithm of Neuberger and Swift and bifurcation techniques to find solutions. With a small parameter, we find a Morse index 2 triple junction solution. This is the solution for which Flores, Padilla and Tonegawa gave an existence proof. We classify all of the solutions guaranteed to exist by the Equivariant Branching Lemma at the first bifurcation points of the trivial solutions. Guided by the symmetry analysis, we numerically compute the solution branches. <\/jats:p>","DOI":"10.1142\/s0218127403008740","type":"journal-article","created":{"date-parts":[[2003,12,18]],"date-time":"2003-12-18T09:02:05Z","timestamp":1071738125000},"page":"3295-3306","source":"Crossref","is-referenced-by-count":10,"title":["NUMERICAL SOLUTIONS OF A VECTOR GINZBURG\u2013LANDAU EQUATION  WITH A TRIPLE-WELL POTENTIAL"],"prefix":"10.1142","volume":"13","author":[{"given":"JOHN M.","family":"NEUBERGER","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics,  Northern Arizona University, Box 5717, Flagstaff, AZ 86001, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"suffix":"JR.","given":"DENNIS R.","family":"RICE","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics,  Northern Arizona University, Box 5717, Flagstaff, AZ 86001, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"JAMES W.","family":"SWIFT","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics,  Northern Arizona University, Box 5717, Flagstaff, AZ 86001, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","volume-title":"Sobolev Spaces","author":"Adams R. 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