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This scenario is formed by a sequence of pairs of bifurcations, whereby each pair consists of a border collision bifurcation and a pitchfork bifurcation. The mechanism leading to this scenario and its characteristic properties, like symmetry-breaking and symmetry-recovering as well as emergence of coexisting attractors, are investigated.<\/jats:p>","DOI":"10.1142\/s0218127405012752","type":"journal-article","created":{"date-parts":[[2005,7,5]],"date-time":"2005-07-05T10:52:13Z","timestamp":1120560733000},"page":"1267-1284","source":"Crossref","is-referenced-by-count":13,"title":["PERIOD-DOUBLING SCENARIO WITHOUT FLIP BIFURCATIONS IN A ONE-DIMENSIONAL MAP"],"prefix":"10.1142","volume":"15","author":[{"given":"V.","family":"AVRUTIN","sequence":"first","affiliation":[{"name":"Institute of Parallel and Distributed Systems (IPVS), University of Stuttgart, Universit\u00e4tstrasse 38, D-70569 Stuttgart, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"M.","family":"SCHANZ","sequence":"additional","affiliation":[{"name":"Institute of Parallel and Distributed Systems (IPVS), University of Stuttgart, Universit\u00e4tstrasse 38, D-70569 Stuttgart, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.59.4052"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.57.4986"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/0960-0779(95)00127-1"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/S0960-0779(98)00164-7"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.50.4427"},{"key":"rf6","volume-title":"Iterated Maps on the Interval as Dynamical Systems","author":"Collet P.","year":"1980"},{"key":"rf7","first-page":"858","volume":"11","author":"di Bernardo M.","journal-title":"Nonlinearity"},{"key":"rf8","first-page":"133","volume":"45","author":"di Bernardo M.","journal-title":"Fund. 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