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Ciclos limite em sistemas de Filippov no plano
(Universidade Estadual Paulista (Unesp), 2018-03-02)
Neste trabalho, nosso principal objetivo é estudar a existência e estabilidade de ciclos limite de costura em sistemas lineares planares de Filippov descontínuos obtidos pela agregação de dois sistemas lineares planares ...
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 ...
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 limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems
(2015-11-15)
In this paper we consider the linear differential center (x,y)=(-y,x) perturbed inside the class of all discontinuous piecewise linear differential systems with two zones separated by the straight line y=0. Using the ...
Piecewise smooth dynamical systems: Persistence of periodic solutions and normal forms
(2016-04-05)
We consider an n-dimensional piecewise smooth vector field with two zones separated by a hyperplane σ which admits an invariant hyperplane Ω transversal to σ containing a period annulus A fulfilled by crossing periodic ...
Global analysis of the dynamics of a mathematical model to intermittent HIV treatment
(Springer, 2020-07-09)
The aim of this paper is to study the qualitative dynamics of a piecewise smooth system modeling the intermittent treatment of the human immunodeficiency virus. Typical singularities and closed orbits are observable, and ...
Lyapunov coefficients for an invisible fold-fold singularity in planar piecewise Hamiltonian systems
(2020-04-01)
We study the stability of an invisible fold-fold singularity of planar piecewise smooth Hamiltonian vector fields by computing some kind of Lyapunov coefficients. We obtain the general expressions for the first five Lyapunov ...
Distinction between super-cooled water and ice with high duty cycle time-of-flight neutron imaging
(American Institute of Physics, 2019-10)
We report on measured neutron cross section data for super-cooled water and ice by time-of-flight neutron transmission imaging. In particular we demonstrate the use of high duty cycle time-of-flight (HDC-TOF) measurements ...