{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,19]],"date-time":"2025-10-19T15:53:33Z","timestamp":1760889213723},"reference-count":36,"publisher":"World Scientific Pub Co Pte Lt","issue":"06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2016,6,15]]},"abstract":"<jats:p> The twisted horseshoe map was developed in order to study a class of density dependent Leslie population models with two age classes. From the beginning, scientists have tried to prove that this map presents chaotic dynamics. Some demonstrations that have appeared in mathematical literature present some difficulties or delicate issues. In this paper, we give a simple and rigorous proof based on a different approach. We also highlight the possibility of getting chaotic dynamics for a broader class of maps. <\/jats:p>","DOI":"10.1142\/s0218127416500929","type":"journal-article","created":{"date-parts":[[2016,6,29]],"date-time":"2016-06-29T06:02:54Z","timestamp":1467180174000},"page":"1650092","source":"Crossref","is-referenced-by-count":2,"title":["About Chaotic Dynamics in the Twisted Horseshoe Map"],"prefix":"10.1142","volume":"26","author":[{"given":"Elisa","family":"Sovrano","sequence":"first","affiliation":[{"name":"Department of Mathematics and Computer Science, University of Udine, via Delle Scienze 206, 33100 Udine, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2016,6,28]]},"reference":[{"key":"S0218127416500929BIB001","series-title":"World Scientific Series on Nonlinear Science, Series A","volume-title":"The Chaos Avant-Garde","volume":"39","author":"Abraham R.","year":"2000"},{"key":"S0218127416500929BIB002","first-page":"23","volume":"1","author":"Aulbach B.","year":"2001","journal-title":"Nonlin. Dyn. Syst. Th."},{"key":"S0218127416500929BIB003","doi-asserted-by":"publisher","DOI":"10.1515\/crll.2002.053"},{"key":"S0218127416500929BIB004","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0084762"},{"key":"S0218127416500929BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/BF02104512"},{"key":"S0218127416500929BIB006","doi-asserted-by":"publisher","DOI":"10.4169\/amer.math.monthly.118.03.229"},{"key":"S0218127416500929BIB007","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2013.09.007"},{"key":"S0218127416500929BIB008","doi-asserted-by":"publisher","DOI":"10.1080\/10236190802332233"},{"key":"S0218127416500929BIB009","series-title":"Random and Computational Dynamics","volume-title":"Semihyperbolicity and Bishadowing","volume":"1","author":"Diamond P.","year":"2012"},{"key":"S0218127416500929BIB010","doi-asserted-by":"publisher","DOI":"10.1007\/BF00275980"},{"key":"S0218127416500929BIB011","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-01-02586-7"},{"key":"S0218127416500929BIB012","doi-asserted-by":"publisher","DOI":"10.2307\/2695795"},{"key":"S0218127416500929BIB013","doi-asserted-by":"publisher","DOI":"10.1002\/zamm.19890690703"},{"key":"S0218127416500929BIB014","doi-asserted-by":"publisher","DOI":"10.1017\/S1446788700033504"},{"key":"S0218127416500929BIB015","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-32502-6_1"},{"key":"S0218127416500929BIB016","doi-asserted-by":"publisher","DOI":"10.1080\/10236190600574069"},{"key":"S0218127416500929BIB017","doi-asserted-by":"publisher","DOI":"10.1007\/s11253-005-0055-4"},{"key":"S0218127416500929BIB018","doi-asserted-by":"publisher","DOI":"10.1080\/00029890.1975.11994008"},{"key":"S0218127416500929BIB019","doi-asserted-by":"publisher","DOI":"10.1137\/120868980"},{"key":"S0218127416500929BIB020","doi-asserted-by":"publisher","DOI":"10.1126\/science.186.4164.645"},{"key":"S0218127416500929BIB021","doi-asserted-by":"publisher","DOI":"10.1038\/261459a0"},{"key":"S0218127416500929BIB022","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127409024761"},{"key":"S0218127416500929BIB024","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2015.03.003"},{"key":"S0218127416500929BIB025","doi-asserted-by":"crossref","DOI":"10.1007\/BF02742713","volume-title":"M\u00e9thodes Nouvelles de la M\u00e9canique C\u00e9leste","author":"Poincar\u00e9 H.","year":"1899"},{"key":"S0218127416500929BIB026","volume-title":"Science et M\u00e9thode","author":"Poincar\u00e9 H.","year":"1908"},{"key":"S0218127416500929BIB027","doi-asserted-by":"publisher","DOI":"10.1007\/s00030-014-0307-9"},{"key":"S0218127416500929BIB029","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1967-11798-1"},{"key":"S0218127416500929BIB030","doi-asserted-by":"publisher","DOI":"10.1007\/BF03024399"},{"key":"S0218127416500929BIB031","doi-asserted-by":"publisher","DOI":"10.2307\/2044350"},{"key":"S0218127416500929BIB032","doi-asserted-by":"publisher","DOI":"10.2307\/2000468"},{"key":"S0218127416500929BIB033","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.1996.3222"},{"key":"S0218127416500929BIB034","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-99-05467-2"},{"key":"S0218127416500929BIB035","doi-asserted-by":"crossref","first-page":"169","DOI":"10.12775\/TMNA.1996.026","volume":"8","author":"Zgliczy\u0144ski P.","year":"1996","journal-title":"Topol. Meth. Nonlin. Anal."},{"key":"S0218127416500929BIB036","doi-asserted-by":"publisher","DOI":"10.1017\/S0143385799141749"},{"key":"S0218127416500929BIB037","doi-asserted-by":"publisher","DOI":"10.1016\/S0362-546X(00)00167-X"},{"key":"S0218127416500929BIB038","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2004.03.013"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127416500929","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T02:15:56Z","timestamp":1565144156000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127416500929"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,6,15]]},"references-count":36,"journal-issue":{"issue":"06","published-online":{"date-parts":[[2016,6,28]]},"published-print":{"date-parts":[[2016,6,15]]}},"alternative-id":["10.1142\/S0218127416500929"],"URL":"https:\/\/doi.org\/10.1142\/s0218127416500929","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,6,15]]}}}