Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/60909
Type: Artigo de periódico
Title: JORDAN DECOMPOSITION AND DYNAMICS ON FLAG MANIFOLDS
Author: Ferraiol, T
Patrao, M
Seco, L
Abstract: Let g be a real semisimple Lie algebra and G = Int(g). In this article, we relate the Jordan decomposition of X is an element of g (or g is an element of G) with the dynamics induced on generalized flag manifolds by the right invariant continuous-time flow generated by X (or the discrete-time flow generated by g). We characterize the recurrent set and the finest Morse decomposition (including its stable sets) of these flows and show that its entropy always vanishes. We characterize the structurally stable ones and compute the Conley index of the attractor Morse component. When the nilpotent part of X is trivial, we compute the Conley indexes of all Morse components. Finally, we consider the dynamical aspects of linear differential equations with periodic coefficients in g, which can be regarded as an extension of the dynamics generated by an element X is an element of g. In this context, we generalize Floquet theory and extend our previous results to this case.
Subject: Jordan decomposition
recurrence
Morse decomposition
generalized flag manifolds
structural stability
Conley index
Floquet theory
Country: EUA
Editor: Amer Inst Mathematical Sciences
Rights: aberto
Identifier DOI: 10.3934/dcds.2010.26.923
Date Issue: 2010
Appears in Collections:Unicamp - Artigos e Outros Documentos

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