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 ...

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 ...

In this paper we study piecewise linear (PWL) vector fields F(x, y) = € F+(x, y) if x ≥ 0, F-(x, y) if x ≤ 0, where x = (x, y) € ℝ2, F+(x) = A+x + b+ and F-(x) = A-x + b-, A+ = (a+ ij ) and A- = (a- ij ) are (2 ×2) constant ...

In this paper we study piecewise linear (PWL) vector fields F(x,y) = { F-+(x,F-y) where x= (x,y) is an element of R-2, F+ (x) = A-Fx b(+) and F- (x) = +, A+ = (at) and A = (a7) are (2 x 2) constant matrices, b+ = (biF,11) ...

The main goal of this thesis is to find periodic solutions of non–smooth systems. Our contribution in this thesis is related to the study of piecewise linear vector fields, singularly perturbed non–smooth systems and cubic ...