Admissibility and nonuniformly hyperbolic sets

Admissibility and 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...

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Bibliographic Details
Main Authors: Luis Barreira, Davor Dragičević, Claudia Valls
Format: Article
Language:English
Published: University of Szeged 2016-03-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
exponential dichotomies
nonuniformly hyperbolic sets
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4516
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spelling doaj-4b8ad9d177d9425ebab292198270fd9d2021-07-14T07:21:28ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752016-03-0120161011510.14232/ejqtde.2016.1.104516Admissibility and nonuniformly hyperbolic setsLuis Barreira0Davor Dragičević1Claudia Valls2Departamento de Matematica, Instituto Superior Tecnico, 1049-001 Lisboa, PortugalUniversity of New South Wales, Sydney, AustraliaInstituto Superior Técnico, Lisboa, PortugalWe 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.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4516exponential dichotomiesnonuniformly hyperbolic sets
collection DOAJ
language English
format Article
sources DOAJ
author Luis Barreira
Davor Dragičević
Claudia Valls
spellingShingle Luis Barreira
Davor Dragičević
Claudia Valls
Admissibility and nonuniformly hyperbolic sets
Electronic Journal of Qualitative Theory of Differential Equations
exponential dichotomies
nonuniformly hyperbolic sets
author_facet Luis Barreira
Davor Dragičević
Claudia Valls
author_sort Luis Barreira
title Admissibility and nonuniformly hyperbolic sets
title_short Admissibility and nonuniformly hyperbolic sets
title_full Admissibility and nonuniformly hyperbolic sets
title_fullStr Admissibility and nonuniformly hyperbolic sets
title_full_unstemmed Admissibility and nonuniformly hyperbolic sets
title_sort admissibility and nonuniformly hyperbolic sets
publisher University of Szeged
series Electronic Journal of Qualitative Theory of Differential Equations
issn 1417-3875
1417-3875
publishDate 2016-03-01
description 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.
topic exponential dichotomies
nonuniformly hyperbolic sets
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4516
work_keys_str_mv AT luisbarreira admissibilityandnonuniformlyhyperbolicsets
AT davordragicevic admissibilityandnonuniformlyhyperbolicsets
AT claudiavalls admissibilityandnonuniformlyhyperbolicsets
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