Artigos Publicados

• Otávio M. L. Gomide, Marcel Guardia, Tere M-Seara. Critical velocity in kink-defect interaction models: rigorous results. Journal of Differential Equations (2020), doi:10.1016/j.jde.2020.02.030.

• Otávio M. L. Gomide, Marco A. Teixeira. On structural stability of 3D Filippov systems: a semi-local approach. Mathematische Zeitschrift, 294, 419-449 (2020).

• Otávio M. L. Gomide, Marco A. Teixeira. Generic singularities of 3D piecewise smooth dynamical systems. In: Lavor C., Gomes F. (eds) Advances in Mathematics and Applications (2018). Springer, Cham.

• Otávio M. L. Gomide, Ricardo M. Martins, Marco A. Teixeira. On semi-local structural stability of Filippov systems. In: Colombo A., Jeffrey M., Lázaro J., Olm J. (eds) Extended Abstracts Spring 2016. Trends in Mathematics, vol 8. Birkhäuser, Cham.

• Otávio M. L. Gomide, Ricardo M. Martins. Limit cycles for quadratic and cubic planar differential equations under polynomial perturbations of small degree. Discrete and Continuous Dynamical Systems A, 37(6): 3353-3386 (2017).

Preprints

• André A. Antunes, Tiago Carvalho, Otávio M. L. Gomide. Closing lemma for piecewise smooth vector fields with a crossing recurrent point (2020).

• Otávio M. L. Gomide, Marco A. Teixeira. Chains in 3D Filippov systems: a chaotic phenomenon. arXiv:2004.10829 (2020).

• Kamila da S. Andrade, Otávio M. L. Gomide, Douglas D. Novaes. Qualitative analysis of polycycles in Filippov systems. arXiv:1905.11950 (2019).

• Otávio M. L. Gomide, Marco A. Teixeira. On typical homoclinic-like loops in 3D Filippov systems. arXiv:1906.07814 (2019).

Forthcoming

• Kamila da S. Andrade, Otávio M. L. Gomide. Polycycles and the Dulac’s problem for piecewise smooth vector fields (2019).

• Otávio M. L. Gomide, Marcel Guardia, Tere M. Seara, Chongchun Zeng. On the breakdown of small amplitude breathers for reversible Klein-Gordon equations (2018).