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Bifurcation of limit cycles from an n-dimensional linear center inside a class of piecewise linear differential systems
(Pergamon-Elsevier B.V. Ltd, 2012-01-01)
Let n be an even integer. We study the bifurcation of limit cycles from the periodic orbits of the n-dimensional linear center given by the differential system<(x)over dot>(1) = -x(2), <(x)over dot>(2) = x(1), ... , <(x)over ...
On the limit cycles of a class of piecewise linear differential systems in R-4 with two zones
(Elsevier B.V., 2011-12-01)
We study the bifurcation of limit cycles from the periodic orbits of a four-dimensional center in a class of piecewise linear differential systems with two zones. Our main result shows that three is an upper bound for the ...
On the limit cycles of a class of piecewise linear differential systems in R-4 with two zones
(Elsevier B.V., 2011-12-01)
We study the bifurcation of limit cycles from the periodic orbits of a four-dimensional center in a class of piecewise linear differential systems with two zones. Our main result shows that three is an upper bound for the ...
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. ...
Piecewise linear perturbations of a linear center
(2013-09-01)
This paper is mainly devoted to the study of the limit cycles that can bifurcate from a linear center using a piecewise linear perturbation in two zones. We consider the case when the two zones are separated by a straight ...
Piecewise linear perturbations of a linear center
(2013-09-01)
This paper is mainly devoted to the study of the limit cycles that can bifurcate from a linear center using a piecewise linear perturbation in two zones. We consider the case when the two zones are separated by a straight ...
Bifurcation of limit cycles from an n-dimensional linear center inside a class of piecewise linear differential systems
(Pergamon-Elsevier B.V. Ltd, 2014)