The Bianchi VIII model is neither global analytic nor Darboux integrable

Jaume Llibre; Clàudia Valls

doi:10.1063/1.3475537

The Bianchi VIII model is neither global analytic nor Darboux integrable

Jaume Llibre, Clàudia Valls

Departament de Matemàtiques

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Resum

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.

Idioma original	Anglès
Número d’article	092702
Revista	Journal of Mathematical Physics
Volum	51
Número	9
DOIs	https://doi.org/10.1063/1.3475537
Estat de la publicació	Publicada - 1 de set. 2010

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10.1063/1.3475537

https://ddd.uab.cat/record/226100

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https://www.scopus.com/pages/publications/78049449626

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title = "The Bianchi VIII model is neither global analytic nor Darboux integrable",

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.",

author = "Jaume Llibre and Cl{\`a}udia Valls",

year = "2010",

month = sep,

day = "1",

doi = "10.1063/1.3475537",

language = "English",

volume = "51",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

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TY - JOUR

T1 - The Bianchi VIII model is neither global analytic nor Darboux integrable

AU - Llibre, Jaume

AU - Valls, Clàudia

PY - 2010/9/1

Y1 - 2010/9/1

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/78049449626

U2 - 10.1063/1.3475537

DO - 10.1063/1.3475537

M3 - Article

SN - 0022-2488

VL - 51

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 9

M1 - 092702

ER -

The Bianchi VIII model is neither global analytic nor Darboux integrable

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