Morse decomposition and structure of non-autonomous attractors
Morse decomposition for attractors of skew-product semigroups
Dimension of the attractors associated to autonomous and nonautonomous dynamical s...
| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil
[2] Univ Seville, Dept Ecuac Diferenciales & Anal Numer, E-41080 Seville - Spain
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | Journal of Differential Equations; v. 257, n. 2, p. 490-522, JUL 15 2014. |
| Web of Science Citations: | 20 |
| Abstract | |
In this work we study the continuity and structural stability of the uniform attractor associated with non-autonomous perturbations of differential equations. By a careful study of the different definitions of attractor in the non-autonomous framework, we introduce the notion of lifted-invariance on the uniform attractor, which becomes compatible with the dynamics in the global attractor of the associated skew product semiflow, and allows us to describe the internal dynamics and the characterization of the uniform attractors. The associated pullback attractors and their structural stability under perturbations will play a crucial role. (C) 2014 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 12/23724-1 - Asymptotical dynamics of evolution processes |
| Grantee: | Matheus Cheque Bortolan |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |