Classification of generalized singular points for piecewise smooth systems with application for the ‎Wien bridge oscillator

Abstract In this paper, we have tried to classify different states of ‎flow‎ behavior for piecewise smooth systems near generalized equilibrium points. Based on the definition of generalized equilibrium points, seven categories are introduced for these points and then in each category, states that can occur are introduced. Then, a kind of bifurcation due to changing the perturbation parameter has been investigated for them‏. ‎Finally, ‎Wien bridge oscillator will be used as an application to the content of this article.‎