{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,29]],"date-time":"2022-03-29T16:49:19Z","timestamp":1648572559942},"reference-count":22,"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":[[2011,11]]},"abstract":"<jats:p> We study a family of rational maps of the Riemann sphere with the property that each map has two fixed points with multiplier -1; moreover, each map has no period 2 orbits. The family we analyze is R<jats:sub>a<\/jats:sub>(z) = (z<jats:sup>3<\/jats:sup> - z)\/(-z<jats:sup>2<\/jats:sup> + az + 1), where a varies over all nonzero complex numbers. We discuss many dynamical properties of R<jats:sub>a<\/jats:sub> including bifurcations of critical orbit behavior as a varies, connectivity of the Julia set J(R<jats:sub>a<\/jats:sub>), and we give estimates on the Hausdorff dimension of J(R<jats:sub>a<\/jats:sub>). <\/jats:p>","DOI":"10.1142\/s0218127411030568","type":"journal-article","created":{"date-parts":[[2012,1,2]],"date-time":"2012-01-02T20:28:03Z","timestamp":1325536083000},"page":"3323-3339","source":"Crossref","is-referenced-by-count":0,"title":["DYNAMICS AND BIFURCATIONS OF A FAMILY OF RATIONAL MAPS WITH PARABOLIC FIXED POINTS"],"prefix":"10.1142","volume":"21","author":[{"given":"RIKA","family":"HAGIHARA","sequence":"first","affiliation":[{"name":"Department of Mathematics and Computer Science, St. Mary's College of Maryland, St. Mary's City, MD 20686, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"JANE","family":"HAWKINS","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of North Carolina at Chapel Hill, CB #3250, Chapel Hill, NC 27599-3250, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,4,6]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1993-1107025-2"},{"key":"rf2","first-page":"615","volume":"39","author":"Baker I. 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