Spectral Sequences In Conleys Theory

dc.creatorCornea O.
dc.creatorDe Rezende K.A.
dc.creatorDa Silveira M.R.
dc.date2010
dc.date2015-06-26T12:36:00Z
dc.date2015-11-26T15:26:21Z
dc.date2015-06-26T12:36:00Z
dc.date2015-11-26T15:26:21Z
dc.date.accessioned2018-03-28T22:35:06Z
dc.date.available2018-03-28T22:35:06Z
dc.identifier
dc.identifierErgodic Theory And Dynamical Systems. , v. 30, n. 4, p. 1009 - 1054, 2010.
dc.identifier1433857
dc.identifier10.1017/S0143385709000479
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-77955854414&partnerID=40&md5=fc69abe9d7eed38d1e26335d811b706b
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/91028
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/91028
dc.identifier2-s2.0-77955854414
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1261110
dc.descriptionIn this paper, we analyse the dynamics encoded in the spectral sequence (Er,dr) associated with certain Conley theory connection maps in the presence of an action type filtration. More specifically, we present an algorithm for finding a chain complex C and its differential; the method uses a connection matrix to provide a system that spans Er in terms of the original basis of C and to identify all of the differentials d rp:ErpErpr. In exploring the dynamical implications of a non-zero differential, we prove the existence of a path that joins the singularities generating Ep and Epr in the case where a direct connection by a flow line does not exist. This path is made up of juxtaposed orbits of the flow and of the reverse flow, and proves to be important in some applications. © 2009 Cambridge University Press.
dc.description30
dc.description4
dc.description1009
dc.description1054
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dc.languageen
dc.publisher
dc.relationErgodic Theory and Dynamical Systems
dc.rightsfechado
dc.sourceScopus
dc.titleSpectral Sequences In Conleys Theory
dc.typeArtículos de revistas


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