| Grant number: | 18/24692-2 |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |
| Start date: | September 02, 2019 |
| End date: | June 25, 2020 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Paulo Ricardo da Silva |
| Grantee: | Otavio Henrique Perez |
| Supervisor: | Daniel Cantergiani Panazzolo |
| Host Institution: | Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil |
| Institution abroad: | Université de Haute-Alsace, France |
| Associated to the scholarship: | 16/22310-0 - Discontinuous foliations and impasses, BP.DR |
Abstract Our main goal is to study constrained systems. Applications for this class of systems can be found in physical models, such as electrical circuits. It is also possible to find constrained systems in another mathematical contexts, for example, in the study of the flows of smooth vector fields on invariant manifolds. We intend to investigate how we can describe these flows by using such systems. We also intend to study systems with singular impasse manifolds. For this, we will apply desingularization techniques and obtain a new system with regular impasse manifold which is equivalent to the first one. | |
| News published in Agência FAPESP Newsletter about the scholarship: | |
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