Nonuniform Hyperbolicity and Admissibility-Reference-Cited by-同舟云学术

Nonuniform Hyperbolicity and Admissibility

Published:2014-08-01 Issue:3 Volume:14 Page:791-811
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Barreira Luis¹,Valls Claudia¹,Dragičevič Davor²

Affiliation:

1. Departamento de Matemática Instituto Superior Técnico, 1049-001 Lisboa, Portugal

2. Department of Mathematics University of Rijeka, 51000 Rijeka, Croatia

Abstract

Abstract For a nonautonomous dynamics defined by a sequence of linear operators, we consider the notion of an exponential dichotomy with respect to a sequence of norms and we characterize it completely in terms of the admissibility in pairs of spaces (ℓp, ℓq), with p and q not necessarily equal. This includes the notion of a nonuniform exponential dichotomy as a very special case. Moreover, we consider a general noninvertible dynamics and a strong nonuniform exponential behavior. The latter is the typical situation from the point of view of smooth ergodic theory.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2014-0315/pdf

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