Center manifolds under nonuniform hyperbolicity - maximal regularity

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:380

Article

Barreira, Luis¹  Valls, Claudia¹ 

[1] Inst Super Tecn, Dept Matemat, P-1049001 Lisbon, Portugal

关键词: Nonuniform exponential trichotomies;    Center manifolds;   

DOI  :  10.1016/j.jmaa.2011.03.003

来源: Elsevier

【 摘 要 】

We establish the existence of (invariant) center manifolds with maximal C-r regularity for a nonautonomous dynamics with discrete time. We consider the general case of perturbations of a nonuniform exponential trichotomy. Our proof uses the fiber contraction principle and allows linear perturbations without any further effort. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free