2025-12-302025-12-302025CARVALHO, Tiago; GONCALVES, Luiz Fernando; FREITAS, Bruno Rodrigues. Singularly perturbed Hopf boundary equilibrium of planar piecewise smooth vector fields. Journal of Differential Equations, Amsterdam, v. 440, pt. 2, e113454, 2025. DOI: 10.1016/j.jde.2025.113454. Disponível em: https://www.sciencedirect.com/science/article/pii/S0022039625004814. Acesso em: 8 dez. 2025.0022-0396e- 1090-2732https://www.sciencedirect.com/science/article/pii/S0022039625004814In this paper, we describe, via singular perturbations and blow-ups, the dynamics around a boundary equilibrium of planar piecewise smooth vector fields. After all desingularizations, we show that the singularly perturbed system has asymptotically attractor equilibria as the ω-limit set.engAcesso RestritoDiscontinuous differential systemHopf boundary bifurcationSingular perturbationSingularly perturbed Hopf boundary equilibrium of planar piecewise smooth vector fieldsArtigo10.1016/j.jde.2025.113454