Back to Search
Start Over
Almost periodic dynamics of perturbed infinite-dimensional dynamical systems
- Source :
-
Nonlinear Analysis . Dec2011, Vol. 74 Issue 18, p7252-7260. 9p. - Publication Year :
- 2011
-
Abstract
- Abstract: This paper is concerned with the dynamics of an infinite-dimensional gradient system under small almost periodic perturbations. Under the assumption that the original autonomous system has a global attractor given as the union of unstable manifolds of a finite number of hyperbolic equilibrium solutions, we prove that the perturbed non-autonomous system has exactly the same number of almost periodic solutions. As a consequence, the pullback attractor of the perturbed system is given by the union of unstable manifolds of these finitely many almost periodic solutions. An application of the result to the Chafee–Infante equation is discussed. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0362546X
- Volume :
- 74
- Issue :
- 18
- Database :
- Academic Search Index
- Journal :
- Nonlinear Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 65812409
- Full Text :
- https://doi.org/10.1016/j.na.2011.07.042