Devil's staircases, quasiperiodicity and chaos in a driven nonlinear fourth-order electric circuit

Abstract

We study the dynamics of a nonlinear fourth-order electric circuit driven by a sinusoidal voltage source. For the parameter values of the circuit elements we have chosen, phase-locked states, two-frequency and three-frequency quasi-periodicity are observed, while chaotic attractors are created by interior crisis. As the nonlinearity of the circuit increases, the well known double scroll attractor is created.