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We also present a global study of the integrable case that includes which periods appear for the recurrence. <\/jats:p>","DOI":"10.1142\/s0218127412502641","type":"journal-article","created":{"date-parts":[[2012,12,13]],"date-time":"2012-12-13T04:14:17Z","timestamp":1355372057000},"page":"1250264","source":"Crossref","is-referenced-by-count":6,"title":["NONAUTONOMOUS TWO-PERIODIC GUMOVSKI\u2013MIRA DIFFERENCE EQUATIONS"],"prefix":"10.1142","volume":"22","author":[{"given":"ANNA","family":"CIMA","sequence":"first","affiliation":[{"name":"Departament de Matem\u00e0tiques, Facultat de Ci\u00e8ncies, Universitat Aut\u00f2noma de Barcelona, 08193 Bellaterra, Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"ARMENGOL","family":"GASULL","sequence":"additional","affiliation":[{"name":"Departament de Matem\u00e0tiques, Facultat de Ci\u00e8ncies, Universitat Aut\u00f2noma de Barcelona, 08193 Bellaterra, Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"V\u00cdCTOR","family":"MA\u00d1OSA","sequence":"additional","affiliation":[{"name":"Departament de Matem\u00e0tica Aplicada III (MA3), Control, Dynamics and Applications Group (CoDALab), Universitat Polit\u00e8cnica de Catalunya (UPC), Colom 1, 08222 Terrassa, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,12,13]]},"reference":[{"key":"rf1","volume-title":"Foundations of Mechanics","author":"Abraham R.","year":"1987"},{"key":"rf2","volume-title":"An Introduction to Dynamical Systems","author":"Arrowsmith A. 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