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For two exemplary sample sizes, a thorough bifurcation analysis is performed using the strength of the applied magnetic field as a bifurcation parameter and focusing on the symmetries of this system. The analysis gives new insight into the transitions between stable and unstable states, as well as the connections between stable solution branches.<\/jats:p>","DOI":"10.1137\/100807132","type":"journal-article","created":{"date-parts":[[2012,3,23]],"date-time":"2012-03-23T10:15:49Z","timestamp":1332497749000},"page":"447-477","source":"Crossref","is-referenced-by-count":6,"title":["Numerical Bifurcation Study of Superconducting Patterns on a Square"],"prefix":"10.1137","volume":"11","author":[{"given":"Nico","family":"Schl\u00f6mer","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Daniele","family":"Avitabile","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Wim","family":"Vanroose","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2012,3,22]]},"reference":[{"key":"R1","first-page":"1174","volume":"5","author":"Abrikosov A. 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