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14 p, 591.7 KB The Bianchi VIII model is neither global analytic nor Darboux integrable / Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Valls, Clàudia 1973- (Instituto Superior Técnico. Departamento de Matemática (Portugal))
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 - 10.1063/1.3475537
Journal of Mathematical Physics, Vol. 51, Issue 9 (September 2010) , art. 092702  
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