Generalized Topological Transition Matrix

dc.creatorFranzosa
dc.creatorRobert; de Rezende
dc.creatorKetty A.; Vieira
dc.creatorEwerton R.
dc.date2016
dc.dateset
dc.date2017-11-13T13:15:43Z
dc.date2017-11-13T13:15:43Z
dc.date.accessioned2018-03-29T05:53:08Z
dc.date.available2018-03-29T05:53:08Z
dc.identifierTopological Methods In Nonlinear Analysis. Juliusz Schauder Ctr Nonlinear Studies, v. 48, p. 183 - 212, 2016.
dc.identifier1230-3429
dc.identifierWOS:000384515300009
dc.identifier10.12775/TMNA.2016.046
dc.identifierhttp://apcz.umk.pl/czasopisma/index.php/TMNA/article/view/TMNA.2016.046
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/327402
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1364427
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionThis article represents a major step in the unification of the theory of algebraic, topological and singular transition matrices by introducing a definition which is a generalization that encompasses all of the previous three. When this more general transition matrix satisfies the additional requirement that it covers flow-defined Conley-index isomorphisms, one proves algebraic and connection-existence properties. These general transition matrices with this covering property are referred to as generalized topological transition matrices and are used to consider connecting orbits of Morse-Smale flows without periodic orbits, as well as those in a continuation associated to a dynamical spectral sequence.
dc.description48
dc.description1
dc.description183
dc.description212
dc.descriptionCNPq [309734/2014-2]
dc.descriptionFAPESP [2012/18780-0, 2010/19230-8]
dc.descriptionFAPEG [2012/10 26 7000 803]
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.languageEnglish
dc.publisherJuliusz Schauder CTR Nonlinear Studies
dc.publisherTorun
dc.relationTopological Methods in Nonlinear Analysis
dc.rightsfechado
dc.sourceWOS
dc.subjectConley Index
dc.subjectConnection Matrices
dc.subjectTransition Matrices
dc.subjectMorse-smale System
dc.subjectSweeping Method
dc.subjectSpectral Sequence
dc.titleGeneralized Topological Transition Matrix
dc.typeArtículos de revistas


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