Numerical and Analytical Study of Nonlinear Electronic Circuits

Abstract

We have carried out a comprehensive study of the dynamics of nonlinear electronic circuits. As model circuits we have used the simple model proposed by Matsumato et al., and the more realistic model proposed by Brorson et al. In our study we have determined the bifurcation diagrams, the return maps, the Lyapunov exponents and the fractal dimensions which characterize the nonlinear behavior of these circuits. In order to get an insight into the physics of the circuits' operation we have computed the average charge, the average current and the average capacitance of the nonlinear circuits, and concluded that the most fundamental physical process that governs the behavior of these circuits is the mode locking of the circuit to the external drive source.