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DC Field | Value | Language |
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dc.contributor.author | Llibre, Jaume | - |
dc.contributor.author | Messias, Marcelo | - |
dc.contributor.author | da Silva, Paulo R. | - |
dc.date.accessioned | 2014-05-20T13:23:33Z | - |
dc.date.accessioned | 2016-10-25T16:44:32Z | - |
dc.date.available | 2014-05-20T13:23:33Z | - |
dc.date.available | 2016-10-25T16:44:32Z | - |
dc.date.issued | 2008-07-11 | - |
dc.identifier | http://dx.doi.org/10.1088/1751-8113/41/27/275210 | - |
dc.identifier.citation | Journal of Physics A-mathematical and Theoretical. Bristol: Iop Publishing Ltd, v. 41, n. 27, p. 21, 2008. | - |
dc.identifier.issn | 1751-8113 | - |
dc.identifier.uri | http://hdl.handle.net/11449/7119 | - |
dc.identifier.uri | http://acervodigital.unesp.br/handle/11449/7119 | - |
dc.description.abstract | In this paper by using the Poincare compactification in R(3) make a global analysis of the Rabinovich system(x) over dot = hy - v(1)x + yz, (y) over dot = hx - v(2)y - xz, (z) over dot = -v(3)z + xy,with (x, y, z) is an element of R(3) and ( h, v(1), v(2), v(3)) is an element of R(4). We give the complete description of its dynamics on the sphere at infinity. For ten sets of the parameter values the system has either first integrals or invariants. For these ten sets we provide the global phase portrait of the Rabinovich system in the Poincare ball (i.e. in the compactification of R(3) with the sphere S(2) of the infinity). We prove that for convenient values of the parameters the system has two families of singularly degenerate heteroclinic cycles. Then changing slightly the parameters we numerically found a four wings butterfly shaped strange attractor. | en |
dc.format.extent | 21 | - |
dc.language.iso | eng | - |
dc.publisher | Iop Publishing Ltd | - |
dc.source | Web of Science | - |
dc.title | On the global dynamics of the Rabinovich system | en |
dc.type | outro | - |
dc.contributor.institution | Univ Autonoma Barcelona | - |
dc.contributor.institution | Universidade Estadual Paulista (UNESP) | - |
dc.description.affiliation | Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain | - |
dc.description.affiliation | Univ Estadual Paulista, Fac Ciencias & Tecnol, Dept Matemat Estat & Comput, BR-19060900 São Paulo, Brazil | - |
dc.description.affiliation | Univ Estadual Paulista, Dept Matemat, IBILCE, BR-15054000 São Paulo, Brazil | - |
dc.description.affiliationUnesp | Univ Estadual Paulista, Fac Ciencias & Tecnol, Dept Matemat Estat & Comput, BR-19060900 São Paulo, Brazil | - |
dc.description.affiliationUnesp | Univ Estadual Paulista, Dept Matemat, IBILCE, BR-15054000 São Paulo, Brazil | - |
dc.identifier.doi | 10.1088/1751-8113/41/27/275210 | - |
dc.identifier.wos | WOS:000257167000013 | - |
dc.rights.accessRights | Acesso restrito | - |
dc.relation.ispartof | Journal of Physics A: Mathematical and Theoretical | - |
Appears in Collections: | Artigos, TCCs, Teses e Dissertações da Unesp |
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