Prof. Ricardo Miranda Martins

Students

Current students

Thaylon Oliveira (PhD), Tiago Miguel Pires de Abreu (PhD), Helena Girardeli Simões Costa (Undergraduate, IC)

List of students I supervised

Former PhD students

1. Joyce Aparecida Casimiro, Piecewise smooth vector fields: index of singularities and some results about the existence of limit cycles, 2024.
2. Mayara Duarte de Araújo Caldas, Periodic orbits and pseudo-cycles in smooth and piecewise smooth dynamical systems with compact discontinuity manifolds, 2023.
3. Guilherme T. da Silva, Non-Smooth Dynamical Systems with Singular Switching Manifolds: the double discontinuity case, 2021
4. Anna Paula M. de Oliveira, Homoclinic and heteroclinic solutions in piecewise smooth dynamical systems, 2017.
5. Thais Damacena, Discontinuous perturbations on smooth systems (co-advisor), 2016.
6. Kamila da Silva Andrade, On degenerate cycles in discontinuous vector fields and the Dulac’s problem (co-advisor), 2016

Former MSc students

1. Samuel Krüger, The appearance of limit cycles in perturbations of three-dimensional differential equations that have invariant submanifolds filled by periodic orbits, 2023
2. Tiago Miguel Pires de Abreu, Limit cycles in Generalized Liénard Non-smooth Differential Equations, 2022.
3. Matheus M. de Castro, Local and Σ-semilocal structural stability structural of piecewise smooth vector fields in compact 3-dimensional manifolds, 2020.
4. Mayara Caldas, Piecewise linear dynamical systems (in infinite zones): structural and asymptotic stability, 2019.
5. Thaylon Oliveira, Limit cycles for linear and nonlinear perturbations of discontinuous differential equations in the plane, 2019.
6. Joyce Casimiro, Limit cycles for piecewise smooth dynamical systems in dimension n>2 and in compact manifolds, 2019.
7. Guilherme T. da Silva, Cycles in tridimensional continuous piecewise linear systems, 2017.
8. Otávio M. L. Gomide, Limit cycles in smooth and non-smooth dynamical systems, 2015.
9. Paulo R. S. Malta, Existence of algebraic limit cycles for polynomial planar differential equations, 2015.

Former Profmat (math education) students

1. Cláudia Meneghin de Oliveira, Propostas de uso do teorema de Euler para poliedros em sala de aula, 2021.
2. Jair Antonio Bueno Jr, O tabuleiro de xadrez no ensino de matemática, 2017.
3. Fabiana Tesine Baptista, O ensino de coordenadas polares através do software GeoGebra, 2017.
4. Kiscinger M. de Carvalho, A álgebra das equações polinomiais e sua solubilidade, 2016.
5. Giselle C. Pedroso, Um estudo sobre cônicas e curvas cúbicas no plano, e o aplicativo EasyMath, 2015.
6. Glaucia I. J. P. Paiva, Números primos e testes de primalidade, 2014.
7. André Vinícius Spina, Números primos e criptografia, 2014.

Former undergraduate students

1. Júlia Oliveira Miranda
2. André Boscariol Rasera
3. Beatriz Franzan
4. Ana Zangrandi
5. Daniele Souza Gonçalves
6. Beatriz Evelyn Rodrigues
7. Eldiane Borges dos Santos Durães
8. Beatriz Benatti da Rocha e Silva
9. Stephanie Nietto
10. Gabriel Belém Barbosa
11. João Vitor Gonçalves Oliveira
12. Nicole Karen Moura
13. João Pedro Moresca Martins
14. Samuel Krüger
15. Edson Cidral Filho
16. Henrique Tonello Pereira
17. Matheus M. de Castro
18. Mayara D. de A. Caldas
19. Yudi B. Kawamura
20. Guilherme T. da Silva

Math genealogy

Eu compartilho os Axiomas de Federico Ardila, em particular o Axioma 4: “Todo aluno merece ser tratado com dignidade e respeito”.

I share the Axioms of Federico Ardila, in particular Axiom 4: “Every student deserves to be treated with dignity and respect”.