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Here you have several informations about me such as: courses I am teaching or have taught, students guidance, my research and collaborations, events and seminars, my academic background and my scientific interests. Accessing the item “Links”, at the above menu, you may find some selected sites that I judged to contain simple and interesting scientific/mathematical contents. More suggestions are welcome. Do not hesitate in contacting me for a chat and a coffee! All the informations you need to find me (email, skype, and office at IMECC) are located in the right column.

**Academic Background**

**Academic Background**

Livre-Docente in Mathematics, 2019, UNICAMP

Postdoctoral Fellow, in 2015-2016, UICAMP and UAB.

PhD in Mathematics, 2015, UNICAMP (download of the thesis).

Research Internship Abroad, 2014, UAB, Barcelona-Spain.

Master in Mathematics, 2012, UNICAMP (link to the dissertation).

Degree in Mathematics, 2010, UNICAMP.

**Awards**

**Awards**

Honorable mention – Prêmio Carlos Teobaldo Gutierrez Vidalon 2006.

Honorable mention – XVIII Congresso Interno de Iniciação Científica da UNICAMP.

**Scientific Interests**

**Scientific Interests**

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- Averaging theory, Melnikov method, Lyapunov-Schmidit reduction, Relaxation Oscillation theory, and other tools to study and detect invariant sets.
- Chebyshev systems with positive accuracy and their applications in dynamics.
- Hidden dynamics, regularization and pinching of Filippov and non Filippov systems.
- Singular perturbation problems and their relation with regularization of piecewise smooth vector fields.
- Typical cycles and global dynamics of piecewise smooth vector fields.
- Sliding dynamcs and chaos.
- Invariant measures for piecewise smooth vector fields.
- Differential Inclusions.

**Selected Papers**

**Selected Papers**

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A mechanism for detecting normally hyperbolic invariant tori in differential equations Journal Article

Em: Journal de Mathématiques Pures et Appliquées, vol. 177, não 1, pp. 45, 2023.

Invariant tori via higher order averaging method: existence, regularity, convergence, stability, and dynamics Journal Article

Em: Mathematische Annalen, 2023.

Uniform upper bound for the number of limit cycles of planar piecewise linear differential systems with two zones separated by a straight line Journal Article

Em: Applied Mathematics Letters, vol. 137, pp. 108501, 2023.

An averaging result for periodic solutions of Carathéodory differential equations Journal Article

Em: Proceedings of the American Mathematical Society, vol. 150, não 7, pp. 2945-2954, 2022.

Higher order analysis on the existence of periodic solutions in continuous differential equations via degree theory Journal Article

Em: SIAM Journal on Mathematical Analysis, vol. 53, não 2, pp. 2476-2490, 2021.

Shilnikov problem in Filippov dynamical systems Journal Article

Em: Chaos, vol. 29, pp. 063110, 2019.

On the extended Chebyshev systems with positive accuracy Journal Article

Em: J. Math. Anal. Appl., vol. 488, não 1, pp. 171-186, 2017.

Chaos induced by sliding phenomena in Filippov systems Journal Article

Em: Journal of Dynamics and Differential Equations, pp. 1-15, 2017.

Averaging theory for discontinuous piecewise differential systems Journal Article

Em: Journal of Differential Equations, vol. 258, não 11, pp. 4007 - 4032, 2015.

Regularization of hidden dynamics in piecewise smooth flows Journal Article

Em: Journal of Differential Equations, vol. 259, não 9, pp. 4615 - 4633, 2015.

Higher order averaging theory for finding periodic solutions via Brouwer degree Journal Article

Em: Nonlinearity, vol. 27, não 3, pp. 563, 2014.

**Next Events**

**Next Events**

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