Equações diferenciais de Liénard definidas em zonas
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Data
2016-03-04
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Universidade Federal de Goiás
Resumo
The study under existence and uniqueness of limit cycles of equations systems differential
is a very active research topic in the qualitative theory of dynamical systems. In this
theme we study this topic in discontinuous dynamic systems. Let’s make this in Liénard
differentials equation systems, allowing a line of discontinuity. Furthermore, we present
the known method of Averaging firstly in your classic version, that is, for class fields at
least C2, we study also to generalized version, to piecewise- smooth dynamical systems.
As a result, we use this tool to determine the number of limit cycles that can bifurcate of
a planar center, inside the equation Liénard differentials equation class.
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Citação
Ruiz, J. J. J. Equações diferenciais de Liénard definidas em zonas. 2016. 89 f. Dissertação (Mestrado em Matemática) - Universidade Federal de Goiás, Goiânia, 2016.