Now showing items 1-4 of 4
On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line
(Journal Of Mathematical Analysis And Applications, 2015-04-01) [Artigo]
In this paper we study the maximum number N of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line. More precisely, we prove that this maximum number ...
Limit Cycles for a Class of Continuous and Discontinuous Cubic Polynomial Differential Systems
(Qualitative Theory of Dynamical Systems, 2014-04-01) [Artigo]
We study the maximum number of limit cycles that bifurcate from the periodic solutions of the family of isochronous cubic polynomial centers(x) over dot = y(-1 + 2 alpha x + 2 beta x(2)), (y) over dot = x + alpha(y(2) - ...
Limit cycles bifurcating from the periodic annulus of cubic homogeneous polynomial centers
(Electronic Journal of Differential Equations, 2015-10-21) [Artigo]
We obtain an explicit polynomial whose simple positive real roots provide the limit cycles which bifurcate from the periodic orbits of any cubic homogeneous polynomial center when it is perturbed inside the class of all ...
On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems
(Applied Mathematics and Computation, 2015-11-15) [Artigo]
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 ...