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We study the existence of analytic first integrals of this model for all values of the parameters.<\/jats:p>","DOI":"10.1063\/1.3651477","type":"journal-article","created":{"date-parts":[[2011,10,14]],"date-time":"2011-10-14T23:58:18Z","timestamp":1318636698000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":2,"title":["Analytic first integrals for generalized Raychaudhuri equations"],"prefix":"10.1063","volume":"52","author":[{"given":"Claudia","family":"Valls","sequence":"first","affiliation":[{"name":"Universidade T\u00e9cnica de Lisboa Departamento de Matem\u00e1tica, Instituto Superior T\u00e9cnico, , Av. 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