| Texto completo | |
| Autor(es): |
Número total de Autores: 3
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| Afiliação do(s) autor(es): | [1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Campus Sao Carlos, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
[2] Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands - England
[3] Univ Seville, Fac Matemat, Dept Ecuac Diferenciales & Anal Numer, E-41012 Seville - Spain
Número total de Afiliações: 3
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| Tipo de documento: | Artigo Científico |
| Fonte: | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS; v. 19, n. 4, p. 1997-2013, APR 2020. |
| Citações Web of Science: | 0 |
| Resumo | |
We investigate the forwards asymptotic dynamics of non-autonomous differential equations. Our approach is centred on those models for which the vector field is only defined for non-negative times, that is, the laws of evolution are not given, or simply not known, for times before a given time (say time t = 0). We will be interested in the cases for which the `driving' (time shift) semigroup has a global attractor in which backwards solutions are not necessarily unique. Considering vector fields in the global attractor of the driving semigroup allows for a natural way to extend vector fields, defined only for non-negative times, to the whole real line. These objects play a crucial role in the description of the asymptotic dynamics of our non-autonomous differential equation. We will study, in some particular cases, the isolated invariant sets of the associated skew-product semigroup with the aim of characterising the global attractor. We develop an example for which we derive decomposition for the global attractor of skew-product semigroup from the characterisation of the attractor of the associated driving semigroup. (AU) | |
| Processo FAPESP: | 18/10997-6 - Robusteza de atratores sob perturbações autônomas ou não-autônomas: Estabilidade estrutural |
| Beneficiário: | Alexandre Nolasco de Carvalho |
| Modalidade de apoio: | Bolsas no Exterior - Pesquisa |