Exact and Earth Sciences
Dynamical SystemsAcademic Profiles
Latest training
2022 - 2022 Post-doctorate, Universitat Autònoma de Barcelona - UAB
2015 - 2016 Post-doctorate, Universidade Estadual de Campinas
2016 - 2016 Post-doctorate, Universitat Autònoma de Barcelona - UAB
Laboratory
http://www.dev.ime.unicamp.br/~ddnovaes/
Research Activities
In order to understand the dynamics of a differential system, it is crucial to establish conditions for the existence of invariant sets such as periodic orbits, homoclinic and heteroclinic orbits, invariant torus etc.
On the other hand, the theory of discontinuous systems has been developing at a fast pace in recent years, with growing importance at the frontier between mathematics, physics, engineering, and life sciences. Interest stems particularly from discontinuous dynamical models in control theory, nonlinear oscillations, impact and friction mechanics, economics, biology, and others.
Our main interest consists in developing tools for studying minimal invariant sets of piecewise smooth vector fields.
Keywords
geometric singular perturbation theory, melnikov theory, bifurcation theory, minimal invariant sets, piecewise smooth vector fields
Keywords (lattes)
Co-authors
Abstract Lattes
Possui Licenciatura (2010), Mestrado (2012) e Doutorado (2015) em Matemática pela Universidade Estadual de Campinas (Unicamp), tendo realizado, durante o doutorado, um período de estágio na Universitat Autònoma de Barcelona (2014). Realizou pós-doutorado na Unicamp e na Universitat Autònoma de Barcelona, nos anos de 2015, 2016 e 2022. Desde 2016, é docente na Unicamp, onde obteve o título de Livre-Docente em 2019 e atualmente ocupa o cargo de Professor Associado (MS-5.2). Tem experiência na área de Matemática, com ênfase em Sistemas Dinâmicos, atuando principalmente nos seguintes temas: teoria de bifurcações e sistemas dinâmicos descontínuos.
Languages
| English | Comprehends Well , Speaks Well , Reads Well , Writes Well |
| Spanish | Comprehends Well , Speaks Well , Reads Well , Writes Well |
| Portuguese | Comprehends Well , Speaks Well , Reads Well , Writes Well |
FAPESP Statistics
FAPESP support in numbers
| 3 | 2 | 7 | 1 | 6 | 19 |
|---|---|---|---|---|---|
| Research assistance concluded | Bolsas no país contratadas | Completed scholarships in the country | Bolsas no exterior contratadas | Completed abroad scholarships | All assistances |
Português




