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, estágio de pesquisa na Universitat Autònoma de Barcelona (2014). Realizou estágios de pós-doutorado na Unicamp e na Universitat Autònoma de Barcelona nos anos de 2015, 2016 e 2022. É docente da Unicamp desde 2016, onde obteve o título de Livre-Docente em 2019 e atualmente ocupa o cargo de Professor Associado (MS-5.2). Desde 2019, é Bolsista de Produtividade em Pesquisa do CNPq, nível A a partir de 2025. É Membro Afiliado da Academia Brasileira de Ciências. Atua na área de Matemática, com ênfase em Sistemas Dinâmicos, desenvolvendo pesquisas principalmente em 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 support in numbers
| 1 | 3 | 2 | 8 | 1 | 6 | 21 |
|---|---|---|---|---|---|---|
| Research grants in progress | Research assistance concluded | Scholarships in the country in progress | Completed scholarships in the country | Ongoing abroad scholarships | Completed abroad scholarships | All assistances |
Português





