The Bianchi VIII model is neither global analytic nor Darboux integrable

Jaume Llibre; Clàudia Valls

doi:https://doi.org/10.1063/1.3475537

The Bianchi VIII model is neither global analytic nor Darboux integrable

Jaume Llibre, Clàudia Valls

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

5 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 language	English
Article number	092702
Journal	Journal of Mathematical Physics
Volume	51
Issue number	9
DOIs	https://doi.org/10.1063/1.3475537
Publication status	Published - 1 Sep 2010

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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. {\textcopyright} 2010 American Institute of Physics.",

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AB - 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.

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The Bianchi VIII model is neither global analytic nor Darboux integrable

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