Recursive properties and attractors theory in impulsive semidynamical systems
Non-autonomous systems with impulses: convergent systems and the Navier-Stokes Equ...
| Grant number: | 14/20691-0 |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |
| Effective date (Start): | March 07, 2015 |
| Effective date (End): | March 06, 2016 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Analysis |
| Principal Investigator: | Márcia Cristina Anderson Braz Federson |
| Grantee: | Rodolfo Collegari |
| Supervisor: | Tomás Caraballo Garrido |
| Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
| Research place: | Universidad de Sevilla (US), Spain |
| Associated to the scholarship: | 13/23933-2 - Pullback attractors in impulsive semidynamical systems, BP.PD |
Abstract The present project of scientific research concerns about the theory of non-autonomousdynamical systems which describe the evolution of process whose continuous dynamics areinterrupted by abrupt changes of state, a phenomenon called impulse.This project lies on the investigation of qualitative properties for impulsive evolution process.We intend to generalize results from the continuous case, such as invariance and attraction ofomega-limit sets, and obtain results about the existence of pullback attractors. We intend toapply the results about pullback attraction to ordinary and partial differential equations withimpulse effects. The mathematical analysis of such systems employs techniques of topologicalmethods and dynamical system theory. (AU) | |
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