{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T02:32:42Z","timestamp":1648953162100},"reference-count":17,"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":[[2019,4]]},"abstract":"<jats:p> The Boros\u2013Moll map appears as a subsystem of a Landen transformation associated to certain rational integrals and its dynamics is related to their convergence. In the paper, we study the dynamics of a one-parameter family of maps which unfold the Boros\u2013Moll one, showing that the existence of an unbounded invariant chaotic region in the Boros\u2013Moll map is a peculiar feature within the family. We relate this singularity with a specific property of the critical lines that occurs only for this special case. In particular, we explain how the unbounded chaotic region in the Boros\u2013Moll map appears. We especially explain the main contact\/homoclinic bifurcations that occur in the family. We also report some other bifurcation phenomena that appear in the considered unfolding. <\/jats:p>","DOI":"10.1142\/s021812741930009x","type":"journal-article","created":{"date-parts":[[2019,4,22]],"date-time":"2019-04-22T10:22:39Z","timestamp":1555928559000},"page":"1930009","source":"Crossref","is-referenced-by-count":1,"title":["A Route to Chaos in the Boros\u2013Moll Map"],"prefix":"10.1142","volume":"29","author":[{"given":"Laura","family":"Gardini","sequence":"first","affiliation":[{"name":"Department of Economics, Society, Politics (DESP), University of Urbino \u201cCarlo Bo\u201d, Via Aurelio Saffi 42, 61029 Urbino, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"V\u00edctor","family":"Ma\u00f1osa","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Universitat Polit\u00e8cnica de Catalunya, Colom 1, 08222 Terrassa, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Iryna","family":"Sushko","sequence":"additional","affiliation":[{"name":"Institute of Mathematics, National Academy of Sciences of Ukraine, 3, Tereshchenkivska St., 01601 Kiev-4, Ukraine"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2019,4,22]]},"reference":[{"key":"S021812741930009XBIB001","first-page":"585","volume":"95","author":"Almkvist G.","year":"1988","journal-title":"Amer. 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