Ms. Baptista et Il. Caldas, PHASE-LOCKING AND BIFURCATIONS OF THE SINUSOIDALLY-DRIVEN DOUBLE SCROLL CIRCUIT, Nonlinear dynamics, 17(2), 1998, pp. 119-139
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
.