Naslov
Characterization of nonuniform exponential trichotomies for flows

Autori
Barreira, Luis ; Dragičević, Davor ; Valls, Claudia

Izvornik
Journal of mathematical analysis and applications (0022-247X) 434 (2016), 1; 376-400

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
exponential trichotomy; robustness; partially hyperbolic set.

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA