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Centers and limit cycles of vector fields defined on invariant spheres
(Springer, 2021-09-25)
The aim of this paper is the study of the center-focus and cyclicity problems inside the class X of 3-dimensional vector fields that admit a first integral that leaves invariant any sphere centered at the origin. We classify ...
Centers and Limit Cycles of Vector Fields Defined on Invariant Spheres
(2021-12-01)
The aim of this paper is the study of the center-focus and cyclicity problems inside the class X of 3-dimensional vector fields that admit a first integral that leaves invariant any sphere centered at the origin. We classify ...
The center-focus problem and reversibility
(Academic Press IncSan DiegoEUA, 2001)
On the Limit Cycles for a Class of Continuous Piecewise Linear Differential Systems with Three Zones
(World Scientific Publ Co Pte Ltd, 2015-04-01)
Lima and Llibre [2012] have studied a class of planar continuous piecewise linear vector fields with three zones. Using the Poincare map, they proved that this class admits always a unique limit cycle, which is hyperbolic. ...
Limit Cycles Bifurcating from a Period Annulus in Continuous Piecewise Linear Differential Systems with Three Zones
(World Scientific Publ Co Pte Ltd, 2017-02-01)
We study a class of planar continuous piecewise linear vector fields with three zones. Using the Poincare map and some techniques for proving the existence of limit cycles for smooth differential systems, we prove that ...
Separatrizes de germes de campos de vetores analíticos reais em dimensão dois
(Universidade Federal de Minas GeraisBrasilICEX - INSTITUTO DE CIÊNCIAS EXATASPrograma de Pós-Graduação em MatemáticaUFMG, 2021-08-12)
This thesis is dedicated to the study of conditions to ensure the existence of formal separatrices for a foliation defined by a germ of real analytical vector field with an algebraically isolated singularity at the origin ...
On the Limit Cycles for a Class of Continuous Piecewise Linear Differential Systems with Three Zones
(World Scientific Publ Co Pte Ltd, 2015)
On the Limit Cycles for a Class of Continuous Piecewise Linear Differential Systems with Three Zones
(World Scientific Publ Co Pte Ltd, 2015)
Linear type global centers of linear systems with cubic homogeneous nonlinearities
(Rendiconti del Circolo Matematico di Palermo Series 2, 2021)
Limit cycles in 4-star-symmetric planar piecewise linear systems
(Elsevier B.V., 2020-02-15)
Our interest is centered in the study of the number of limit cycles for nonsmooth piecewise linear vector fields on the plane when the switching curve is xy=0. We consider the symmetric case. That is, one vector field ...