{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,17]],"date-time":"2025-10-17T13:27:11Z","timestamp":1760707631951,"version":"3.41.2"},"reference-count":15,"publisher":"AIP Publishing","issue":"2","content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2006,2,1]]},"abstract":"<jats:p>In this paper we provide a complete description of the first integrals of the classical Bianchi IX system that can be described by a general class of formal power series. As a corollary we also obtain a complete description of some of its analytic first integrals in a neighborhood of the origin. In particular, we prove that the system is not completely integrable by analytic first integrals.<\/jats:p>","DOI":"10.1063\/1.2168123","type":"journal-article","created":{"date-parts":[[2006,2,16]],"date-time":"2006-02-16T23:02:31Z","timestamp":1140130951000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":13,"title":["Formal and analytical integrability of the Bianchi IX system"],"prefix":"10.1063","volume":"47","author":[{"given":"Jaume","family":"Llibre","sequence":"first","affiliation":[{"name":"Universitat Aut\u00f2noma de Barcelona Departament de Matem\u00e0tiques, , 08193 Bellaterra, Barcelona, Spain"}]},{"given":"Cl\u00e0ud\u00eca","family":"Valls","sequence":"additional","affiliation":[{"name":"Instituto Superior T\u00e9cnico Departamento de Matem\u00e1tica, , Av. 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