Singularly perturbed Hopf boundary equilibrium of planar piecewise smooth vector fields

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dc.creatorCarvalho, Tiago de
dc.creatorGonçalves, Luiz Fernando
dc.creatorFreitas, Bruno Rodrigues de
dc.date.accessioned2025-12-30T13:31:32Z
dc.date.available2025-12-30T13:31:32Z
dc.date.issued2025
dc.description.abstractIn 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.
dc.identifier.citationCARVALHO, 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.
dc.identifier.doi10.1016/j.jde.2025.113454
dc.identifier.issn0022-0396
dc.identifier.issne- 1090-2732
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0022039625004814
dc.language.isoeng
dc.publisher.countryHolanda
dc.publisher.departmentInstituto de Matemática e Estatística - IME (RMG)
dc.rightsAcesso Restrito
dc.subjectDiscontinuous differential system
dc.subjectHopf boundary bifurcation
dc.subjectSingular perturbation
dc.titleSingularly perturbed Hopf boundary equilibrium of planar piecewise smooth vector fields
dc.typeArtigo

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