Estimates for the Number of Limit Cycles in Discontinuous Generalized Liénard Systems with Bivariate Perturbation

Carlos F. Álvarez, Alexander Sierra-Ortiz

We study the number of limit cycles of the piecewise smooth differential system $$\dot{x}=y,\dot{y}=-x-\epsilon (f(x)y+\mathrm{sgn}(x)g(x,y)),$$ where $f(x…