The Bianchi VIII model is neither global analytic nor Darboux integrable

Jaume Llibre, Clàudia Valls

Research output: Contribution to journalArticleResearchpeer-review

4 Citations (Scopus)

Abstract

We consider the Bianchi VIII model. This model has been studied during these past years but very few are known up to now on its integrability. We show that the Bianchi VIII system has neither a global analytic first integral nor a Darboux first integral, which is not a function of its Hamiltonian. © 2010 American Institute of Physics.
Original languageEnglish
Article number092702
JournalJournal of Mathematical Physics
Volume51
Issue number9
DOIs
Publication statusPublished - 1 Sep 2010

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