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We consider the specific example of a nonautonomous H\u00e9non map and give sufficient conditions, in terms of the parameters defining the map, for the nonautonomous H\u00e9non map to have a hyperbolic chaotic invariant set. <\/jats:p>","DOI":"10.1142\/s0218127415501722","type":"journal-article","created":{"date-parts":[[2015,12,3]],"date-time":"2015-12-03T06:30:18Z","timestamp":1449124218000},"page":"1550172","source":"Crossref","is-referenced-by-count":13,"title":["Chaotic Dynamics in Nonautonomous Maps: Application to the Nonautonomous H\u00e9non Map"],"prefix":"10.1142","volume":"25","author":[{"given":"Francisco","family":"Balibrea-Iniesta","sequence":"first","affiliation":[{"name":"Instituto de Ciencias Matem\u00e1ticas, CSIC-UAM-UC3M-UCM, C\/Nicol\u00e1s Cabrera 15, Campus de Cantoblanco UAM, Madrid 28049, Spain"}]},{"given":"Carlos","family":"Lopesino","sequence":"additional","affiliation":[{"name":"Instituto de Ciencias Matem\u00e1ticas, CSIC-UAM-UC3M-UCM, C\/Nicol\u00e1s Cabrera 15, Campus de Cantoblanco UAM, Madrid 28049, Spain"}]},{"given":"Stephen","family":"Wiggins","sequence":"additional","affiliation":[{"name":"School of Mathematics, University of Bristol, Bristol BS8 1TW, UK"}]},{"given":"Ana M.","family":"Mancho","sequence":"additional","affiliation":[{"name":"Instituto de Ciencias Matem\u00e1ticas, CSIC-UAM-UC3M-UCM, C\/Nicol\u00e1s Cabrera 15, Campus de Cantoblanco UAM, Madrid 28049, Spain"}]}],"member":"219","published-online":{"date-parts":[[2015,12,2]]},"reference":[{"key":"S0218127415501722BIB1","doi-asserted-by":"publisher","DOI":"10.1070\/SM1968v005n01ABEH002587"},{"key":"S0218127415501722BIB2","doi-asserted-by":"publisher","DOI":"10.1070\/SM1968v006n04ABEH001074"},{"key":"S0218127415501722BIB3","doi-asserted-by":"publisher","DOI":"10.1070\/SM1969v007n01ABEH001076"},{"key":"S0218127415501722BIB4","doi-asserted-by":"publisher","DOI":"10.1007\/BF01221362"},{"key":"S0218127415501722BIB5","doi-asserted-by":"publisher","DOI":"10.1007\/BF01608556"},{"key":"S0218127415501722BIB6","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-460X(82)80002-3"},{"key":"S0218127415501722BIB7","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511809187"},{"key":"S0218127415501722BIB8","doi-asserted-by":"publisher","DOI":"10.1063\/1.165887"},{"key":"S0218127415501722BIB9","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127415501849"},{"key":"S0218127415501722BIB10","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/23\/11\/012"},{"key":"S0218127415501722BIB11","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2011.05.032"},{"key":"S0218127415501722BIB12","series-title":"Annals of Mathematical Studies","volume-title":"Stable and Random Motions in Dynamical Systems","volume":"77","author":"Moser J.","year":"1973"},{"key":"S0218127415501722BIB13","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4613-8101-3"},{"key":"S0218127415501722BIB14","doi-asserted-by":"publisher","DOI":"10.1007\/BF00948961"},{"key":"S0218127415501722BIB15","doi-asserted-by":"publisher","DOI":"10.1007\/BF00945119"},{"key":"S0218127415501722BIB16","doi-asserted-by":"publisher","DOI":"10.1007\/s000330050168"},{"key":"S0218127415501722BIB17","volume-title":"Introduction to Applied Nonlinear Dynamical Systems and Chaos","author":"Wiggins S.","year":"2003","edition":"2"},{"key":"S0218127415501722BIB18","doi-asserted-by":"publisher","DOI":"10.5194\/npg-21-165-2014"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127415501722","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T03:05:53Z","timestamp":1565147153000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127415501722"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,11]]},"references-count":18,"journal-issue":{"issue":"12","published-online":{"date-parts":[[2015,12,2]]},"published-print":{"date-parts":[[2015,11]]}},"alternative-id":["10.1142\/S0218127415501722"],"URL":"https:\/\/doi.org\/10.1142\/s0218127415501722","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,11]]}}}