| Grant number: | 12/22609-4 |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| Duration: | June 24, 2013 - September 09, 2013 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
| Principal Investigator: | Alexandre Nolasco de Carvalho |
| Grantee: | Alexandre Nolasco de Carvalho |
| Visiting researcher: | José Antonio Langa Rosado |
| Visiting researcher institution: | Universidad de Sevilla (US), Spain |
| Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
Abstract
The main objective of this project concerns the description of the long-time dynamics of non-autonomous dynamical systems, and its applications to mathematical models (differential equations) appearing in several branches of sciences. Actually, we aim to analyze the geometrical structure of the attractors (sets containing the asymptotic dynamics) for these systems. We will pay special attention to the structural stability of attractors under non-autonomous perturbations, as well as the appearance of (non-autonomous) bifurcation scenarios in the applications. (AU)
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