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Teoria de Chebyshev e aplicações à ciclicidade de campos de vetores lineares por partes
(Universidade Estadual Paulista (Unesp), 2022-07-15)
O objetivo deste trabalho é apresentar a Teoria de Sistemas de Chebyshev clássica e atual, com acurácia, e sua potencial aplicação na Teoria Qualitativa de Equações Diferenciais Ordinárias (TQEDO). Para isto, reunimos as ...
Limit cycles for some families of smooth and non-smooth planar systems
(Elsevier B.V., 2021-06-01)
We apply the averaging method in a class of planar systems given by a linear center perturbed by a sum of continuous homogeneous vector fields, to study lower bounds for their number of limit cycles. Our results can be ...
The local period function for Hamiltonian systems with applications
(Elsevier B.V., 2021-04-15)
In the first part of the paper we develop a constructive procedure to obtain the Taylor expansion, in terms of the energy, of the period function for a non-degenerated center of any planar analytic Hamiltonian system. We ...