Multiple scale approach to dynamics of an LC circuit with a charge-controlled memristor

Abstract

This brief presents an analysis of the nonlinear dynamics of a memristive inductive-capacitive circuit, driven by a sinusoidal voltage source. The analysis is carried out using multiple-scale technique. The memristance M(q) is modeled by a power law series of the electrical charge q, considering both passive and active M(q). The steady-state solution behavior, close to the resonant circuit condition, is investigated. Numerical simulations are reported for comparison with analytical results.