Convergence of Volterra series in simulation of nonlinear processes in electronic circuits

Abstract

Physical and mathematical reasons for the divergence of functional Volterra series in calculation of nonlinear electronic circuits described by algebraic differential equations are considered. It is shown that the main reason is the character of the feedbacks involving nonlinear elements and leading to a high level of repeated combinational interactions. On model examples, the disruption of the iterative process due to the loss of continuity and differentiability of nonlinear operators on the real axis or on the complex plane is demonstrated.