Mixed numerical and analytical analysis of nonlinear circuits with nonsmooth inputs: A hyperbolic algebra approach

A mixed numerical and analytical analysis of oscillatory non-harmonic solutions of nonlinear circuits with nonsmooth inputs is presented. The focus of the paper is on using hyperbolic algebra in the analysis of nonlinear circuits with periodic nonsmooth inputs of the square or triangular wave types. The numerical aspect of our approach relies on computing periodic solutions in those cases when analytical analysis is not possible or cumbersome. Several illustrative examples are presented.