{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T17:14:44Z","timestamp":1649092484286},"reference-count":9,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2009,4]]},"abstract":"<jats:p> Network architecture can lead to robust synchrony in coupled maps and to codimension one bifurcations from synchronous fixed-points at which the associated Jacobian is nilpotent. <\/jats:p><jats:p> We discuss the codimension one synchrony-breaking period-doubling bifurcations for three-cell coupled maps. Interesting phenomena occur for all these coupled maps \u2014 a branch of period-2 points with amplitude growing as |\u03bb|<jats:sup>\u2159<\/jats:sup> for coupled networks of feed-forward type, as well as multiple (two) branches of period-2 points with amplitude growing as |\u03bb|<jats:sup>\u00bd<\/jats:sup> for coupled networks of feed-forward type. <\/jats:p><jats:p> We also discuss how some results related to patterns of synchrony that are valid for coupled vector fields are also valid for coupled maps. <\/jats:p>","DOI":"10.1142\/s0218127409023561","type":"journal-article","created":{"date-parts":[[2009,8,17]],"date-time":"2009-08-17T05:02:26Z","timestamp":1250485346000},"page":"1157-1167","source":"Crossref","is-referenced-by-count":0,"title":["SYNCHRONY-BREAKING PERIOD-DOUBLING BIFURCATIONS FOR THREE-CELL HOMOGENEOUS COUPLED MAPS"],"prefix":"10.1142","volume":"19","author":[{"given":"ADELA","family":"COMANICI","sequence":"first","affiliation":[{"name":"Department of Mathematics, Virginia Tech, Blacksburg, VA 24061-0123, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1137\/050635559"},{"key":"rf2","series-title":"Applied Mathematical Sciences","volume-title":"Singularities and Groups in Bifurcation Theory: Vol. I","volume":"51","author":"Golubitsky M.","year":"1984"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-4574-2"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-8167-8"},{"key":"rf5","first-page":"119","volume":"14","author":"Golubitsky M.","journal-title":"J. Nonlin. Sci."},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1137\/040612634"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1090\/S0273-0979-06-01108-6"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/19\/10\/004"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1137\/S1111111103419896"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127409023561","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T20:02:11Z","timestamp":1565121731000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127409023561"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,4]]},"references-count":9,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2009,4]]}},"alternative-id":["10.1142\/S0218127409023561"],"URL":"https:\/\/doi.org\/10.1142\/s0218127409023561","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,4]]}}}