Um estudo dos ciclos limites de campos suaves por partes no plano
Nenhuma Miniatura disponível
Data
2018-03-07
Autores
Título da Revista
ISSN da Revista
Título de Volume
Editor
Universidade Federal de Goiás
Resumo
The goal of this work is study limit cycles of piecewise smooth vector fields. First, we present
the basic theory, passing through the areas of analysis, qualitative theory of differential
equations and algebra. We also present basic concepts of Filippov fields, which are
indispensable for the study of piecewise smooth fields. In chapter one, was the main topic, a
general method for finding limit cycles will be described; in the second chapter limit cycles
are found in a piecewise smooth vector field with non-degenerate center being perturbed by
a piecewise polynomial vector field. In the fourth chapter, we study limit cycles in piecewise
smooth Hamiltonian fields.
Descrição
Citação
CONTRERAS, Jeferson Arley Poveda. Um estudo dos ciclos limites de campos suaves por partes no plano. 2018. 72 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2018.