{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,11,16]],"date-time":"2022-11-16T11:33:54Z","timestamp":1668598434856},"reference-count":14,"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":[[2012,11]]},"abstract":"<jats:p> In this paper, heteroclinic loop bifurcations with double orbit flips are investigated in four-dimensional vector fields. We obtain the bifurcation equations by setting up a local coordinate system near the rough heteroclinic orbit and establishing the Poincar\u00e9 map. By means of the bifurcation equations, we investigate the existence, coexistence and noncoexistence of periodic orbit, homoclinic loop and heteroclinic loop under some nongeneric conditions. The approximate expressions of corresponding bifurcation curves (or surfaces) are also given. An example of application is also given to demonstrate the existence of the heteroclinic loop with double orbit flips. <\/jats:p>","DOI":"10.1142\/s0218127412502781","type":"journal-article","created":{"date-parts":[[2012,12,13]],"date-time":"2012-12-13T09:14:17Z","timestamp":1355390057000},"page":"1250278","source":"Crossref","is-referenced-by-count":4,"title":["BIFURCATION OF ROUGH HETEROCLINIC LOOP WITH ORBIT FLIPS"],"prefix":"10.1142","volume":"22","author":[{"given":"XINGBO","family":"LIU","sequence":"first","affiliation":[{"name":"Department of Mathematics, East China Normal University, Shanghai 200241, P. R. China"}]},{"given":"ZHENZHEN","family":"WANG","sequence":"additional","affiliation":[{"name":"Department of Mathematics, East China Normal University, Shanghai 200241, P. R. China"}]},{"given":"DEMING","family":"ZHU","sequence":"additional","affiliation":[{"name":"Department of Mathematics, East China Normal University, Shanghai 200241, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2012,12,13]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1080\/14689367.2010.503186"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1023\/A:1009046621861"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127410025569"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/14\/2\/311"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/14\/3\/309"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1007\/s10884-010-9171-4"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1142\/4221"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1360\/03ys0201"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1007\/BF02219223"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(02)00773-X"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-009-9575-z"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0396(87)90034-9"},{"key":"rf13","first-page":"341","volume":"14","author":"Zhu D. M.","journal-title":"Acta Math. Sin."},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1007\/BF02871667"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127412502781","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T18:50:20Z","timestamp":1565117420000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127412502781"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,11]]},"references-count":14,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2012,12,13]]},"published-print":{"date-parts":[[2012,11]]}},"alternative-id":["10.1142\/S0218127412502781"],"URL":"https:\/\/doi.org\/10.1142\/s0218127412502781","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,11]]}}}