Characterization of nonuniform exponential trichotomies for flows (CROSBI ID 220971)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Barreira, Luis ; Dragičević, Davor ; Valls, Claudia
engleski
Characterization of nonuniform exponential trichotomies for flows
For an evolution family, we characterize completely the notion of a nonuniform exponential trichotomy in terms of admissibility properties. As a nontrivial application, we establish the robustness of the notion in a very simple manner. We also obtain corresponding results for a strong nonuniform exponential trichotomy. We emphasize that both notions are ubiquitous in the context of ergodic theory. Moreover, we develop a corresponding theory for the notion of a nonuniformly partially hyperbolic set, in which case one considers simultaneously a collection of trajectories instead of a single one. In particular, this required rst developing an appropriate theory for nonuniformly hyperbolic sets, which is of independent interest.
exponential trichotomy; robustness; partially hyperbolic set.
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Podaci o izdanju
434 (1)
2016.
376-400
objavljeno
0022-247X
10.1016/j.jmaa.2015.09.024