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Publicação
Dynamics of generic multidimensional linear differential systems
Autores
Orientador(es)
Resumo(s)
We prove that there exists a residual subset R (with respect to the C^0 topology) of d-dimensional linear differential systems based in a μ-invariant flow and with transition matrix evolving in GL(d, R) such that if A ∈ R, then, for μ-a.e. point, the Oseledets splitting along the orbit is dominated (uniform projective hyperbolicity) or else the Lyapunov spectrum is trivial. Moreover, in the conservative setting, we obtain the dichotomy: dominated splitting versus zero Lyapunov exponents.
Descrição
Palavras-chave
Linear differential systems Dominated splitting Lyapunov exponents Multiplicative ergodic theorem
Contexto Educativo
Citação
M. Bessa, Dynamics of Generic Multidimensional Linear Differential Systems, Advanced Nonlinear Studies, 8, 1, 191-211, 2008
Editora
De Gruyter