On the dynamics of the Bianchi IX system
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Data
2007-06-29
Autores
Buzzi, Claudio A.
Llibre, Jaume
da Silva, Paulo R.
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Iop Publishing Ltd
Resumo
In this paper, we study the flow on three invariant sets of dimension five for the classical Bianchi IX system. In these invariant sets, using the Darboux theory of integrability, we prove the non-existence of periodic solutions and we study their dynamics. Moreover, we find three invariant sets of dimension four where the flow is integrable.
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Journal of Physics A-mathematical and Theoretical. Bristol: Iop Publishing Ltd, v. 40, n. 26, p. 7187-7192, 2007.