This paper presents a two dimensional phenomenological non-linear model of a windscreen wiper system. This non-linear model describes the instabilities arising from the frictional contact between the glass and the rubber. The objective of this paper is to illustrate the fact that a very simple non-linear phenomenological system may be used to model and simulate chatter vibrations for wiper systems stability analysis. First, the complete non-linear phenomenological system which represents the non-linear wiper system is described. Then, the stability analysis of the system is performed by considering the eigenvalues of the linearized system around the non-linear equilibrium points. Finally, the non-linear behaviour of the mechanical system which corresponds to the “limit cycles” is investigated using a Runge-Kutta method.