PHASE-LOCKING AND BIFURCATIONS OF THE SINUSOIDALLY-DRIVEN DOUBLE SCROLL CIRCUIT

The dynamic alterations of an electronic circuit in a chaotic regime, described by the Double Scroll attractor, subjected to sinusoidal pert urbation are numerically investigated. Parameter diagrams of the circu it phase-locking oscillations in terms of the driving amplitude and fr equency are computed. These diagrams have highly interleaved and compl ex structures, part of them Canter-like fractals. However, a Canter-li ke fractal structure is also observed. In addition, the power spectrum analysis is used to find and characterize three ways of phase-locking the Double Scroll circuit, and to determine how this process depends on the driving parameters. Furthermore, the dynamics of bifurcation ph enomena, as chaotic attractor entrainment, Arnold's tongues, coexisten ce of attractors, and hysteresis are identified in the parameter space .