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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 ...
Large amplitude oscillations for a class of symmetric polynomial differential systems in R³
(Academia Brasileira de Ciências, 2014)
PERIODIC PERTURBATION of QUADRATIC SYSTEMS WITH TWO INFINITE HETEROCLINIC CYCLES
(Amer Inst Mathematical Sciences, 2012-05-01)
We study periodic perturbations of planar quadratic vector fields having infinite heteroclinic cycles, consisting of an invariant straight line joining two saddle points at infinity and an arc of orbit also at infinity. ...
PERIODIC PERTURBATION of QUADRATIC SYSTEMS WITH TWO INFINITE HETEROCLINIC CYCLES
(Amer Inst Mathematical Sciences, 2012-05-01)
We study periodic perturbations of planar quadratic vector fields having infinite heteroclinic cycles, consisting of an invariant straight line joining two saddle points at infinity and an arc of orbit also at infinity. ...
Global Dynamics and Bifurcation of Periodic Orbits in a Modified Nosé-Hoover Oscillator
(2020-01-01)
We perform a global dynamical analysis of a modified Nosé-Hoover oscillator, obtained as the perturbation of an integrable differential system. Using this new approach for studying such an oscillator, in the integrable ...
PERIODIC PERTURBATION of QUADRATIC SYSTEMS WITH TWO INFINITE HETEROCLINIC CYCLES
(Amer Inst Mathematical Sciences, 2014)
Rashba spin-orbit interaction in a superlattice of quantum wires
(AMER PHYSICAL SOCCOLLEGE PK, 2012)
In this work, we study the effects of a longitudinal periodic potential on a parabolic quantum wire defined in a two-dimensional electron gas with Rashba spin-orbit interaction. For an infinite wire superlattice we find, ...
Large amplitude oscillations for a class of symmetric polynomial differential systems in R³
(Academia Brasileira de Ciências, 2007-12-01)
Neste trabalho estudamos uma classe de campos vetoriais polinomiais com simetria, definidos no R³ e dependendo de um parâmetro real épsilon, que possui um conjunto de retas invariantes paralelas que tendem para dois pontos ...
Large amplitude oscillations for a class of symmetric polynomial differential systems in R³
(Academia Brasileira de Ciências, 2007-12-01)
Neste trabalho estudamos uma classe de campos vetoriais polinomiais com simetria, definidos no R³ e dependendo de um parâmetro real épsilon, que possui um conjunto de retas invariantes paralelas que tendem para dois pontos ...