Admissibility and nonuniformly hyperbolic sets

作者：Barreira Luis^*; Dragicevic Davor; Valls Claudia

来源：Electronic Journal of Qualitative Theory of Differential Equations, 2016, (10): 1-15.

DOI：10.14232/ejqtde.2016.1.10

• exponential dichotomies
• nonuniformly hyperbolic sets

We obtain a characterization of two classes of dynamics with nonuniformly hyperbolic behavior in terms of an admissibility property. Namely, we consider exponential dichotomies with respect to a sequence of norms and nonuniformly hyperbolic sets. We note that the approach to establishing exponential bounds along the stable and the unstable directions differs from the standard technique of substituting test sequences. Moreover, we obtain the bounds in a single step.

• 出版日期2016