{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T15:20:39Z","timestamp":1772292039236,"version":"3.50.1"},"reference-count":20,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2013,3]]},"abstract":"<jats:p> In this article we extend the theory of local bifurcation in one-dimensional autonomous maps to one-dimensional nonautonomous periodic maps. We give the necessary conditions for the main types of local bifurcation in one-dimensional periodic maps. <\/jats:p>","DOI":"10.1142\/s0218127413500491","type":"journal-article","created":{"date-parts":[[2013,4,16]],"date-time":"2013-04-16T09:59:58Z","timestamp":1366106398000},"page":"1350049","source":"Crossref","is-referenced-by-count":7,"title":["LOCAL BIFURCATION IN ONE-DIMENSIONAL NONAUTONOMOUS PERIODIC DIFFERENCE EQUATIONS"],"prefix":"10.1142","volume":"23","author":[{"given":"SABER","family":"ELAYDI","sequence":"first","affiliation":[{"name":"Department of Mathematics, Trinity University, San Antonio, Texas, USA"}]},{"given":"RAFAEL","family":"LU\u00cdS","sequence":"additional","affiliation":[{"name":"Center for Mathematical Analysis, Geometry and Dynamical System, Instituto Superior T\u00e9cnico, Technical University of Lisbon, Lisbon, Portugal"}]},{"given":"HENRIQUE","family":"OLIVEIRA","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Instituto Superior T\u00e9cnico, Technical University of Lisbon, Lisbon, Portugal"}]}],"member":"219","published-online":{"date-parts":[[2013,4,16]]},"reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2005.12.016"},{"key":"p_3","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.63.991"},{"key":"p_4","doi-asserted-by":"publisher","DOI":"10.1080\/10236199708808120"},{"key":"p_6","doi-asserted-by":"publisher","DOI":"10.1080\/10236190802258669"},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1080\/13873950701742754"},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2003.10.024"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1080\/10236190412331335418"},{"key":"p_11","doi-asserted-by":"publisher","DOI":"10.1016\/j.mbs.2005.12.021"},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/29\/24\/026"},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1080\/10236190310001634794"},{"key":"p_17","doi-asserted-by":"publisher","DOI":"10.1080\/10236199608808065"},{"key":"p_18","first-page":"351","volume":"2","author":"H\u00fcls T.","year":"2007","journal-title":"Discr. Contin. Dyn. Syst. (Series B )"},{"key":"p_23","doi-asserted-by":"publisher","DOI":"10.1080\/10236190902794951"},{"key":"p_26","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2010.14.739"},{"key":"p_27","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.2011.31.941"},{"key":"p_28","first-page":"163","author":"P\u00f6tzsche C.","year":"2011","journal-title":"Proc. Int. Workshop: Future Directions in Difference Equations, Vigo, Spain"},{"key":"p_29","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2012.05.002"},{"key":"p_31","doi-asserted-by":"publisher","DOI":"10.1080\/10236190500489400"},{"key":"p_34","doi-asserted-by":"publisher","DOI":"10.1080\/10236190601008752"},{"key":"p_37","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127411029124"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127413500491","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T05:12:55Z","timestamp":1565154775000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127413500491"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,3]]},"references-count":20,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2013,4,16]]},"published-print":{"date-parts":[[2013,3]]}},"alternative-id":["10.1142\/S0218127413500491"],"URL":"https:\/\/doi.org\/10.1142\/s0218127413500491","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,3]]}}}