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Closed poly-trajectories and Poincaré index of non-smooth vector fields on the plane
(2013-04-01)
This paper is concerned with closed orbits of non-smooth vector fields on the plane. For a class of non-smooth vector fields we provide necessary and sufficient conditions for the existence of closed poly-trajectorie. By ...
Closed poly-trajectories and Poincaré index of non-smooth vector fields on the plane
(2013-04-01)
This paper is concerned with closed orbits of non-smooth vector fields on the plane. For a class of non-smooth vector fields we provide necessary and sufficient conditions for the existence of closed poly-trajectorie. By ...
Creation of Limit Cycles in Piecewise Smooth Vector Fields Tangent to Nested Tori
(2021-07-01)
The main goal of this paper is to present the behavior generated by piecewise smooth vector fields tangent to foliations. We consider two smooth foliations F1 and F2 that are coupled to produce a foliation composed by ...
On 3-Parameter Families of Piecewise Smooth Vector Fields in the Plane
(Siam Publications, 2012-01-01)
This paper is concerned with the local bifurcation analysis around typical singularities of piecewise smooth planar dynamical systems. Three-parameter families of a class of nonsmooth vector fields are studied, and the ...
On 3-Parameter Families of Piecewise Smooth Vector Fields in the Plane
(Siam Publications, 2012-01-01)
This paper is concerned with the local bifurcation analysis around typical singularities of piecewise smooth planar dynamical systems. Three-parameter families of a class of nonsmooth vector fields are studied, and the ...
Limit cycles of discontinuous piecewise polynomial vector fields
(2017-05-01)
When the first average function is non-zero we provide an upper bound for the maximum number of limit cycles bifurcating from the periodic solutions of the center x˙=−y((x2+y2)/2)m and y˙=x((x2+y2)/2)m with m≥1, when we ...
On 3-Parameter Families of Piecewise Smooth Vector Fields in the Plane
(Siam Publications, 2014)
New Trends in Field-Cycling NMR Technology
(Royal Society of Chemistry, 2018)
This chapter discusses different aspects related to the evolution and current state of fast field-cycling NMR technology. Technical advances affect NMR in two main ways: by extending and improving the capabilities and ...
Limit Cycles Bifurcating from an Invisible Fold–Fold in Planar Piecewise Hamiltonian Systems
(2020-01-01)
The aim of this article is twofold. Firstly, we study the existence of limit cycles in a family of piecewise smooth vector fields corresponding to an unfolding of an invisible fold–fold singularity. More precisely, given ...
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. ...