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Controlled transitions between a hierarchy of n-scroll attractors areinvestigated in a nonlinear optoelectronic oscillator. Using the system'sfeedback strength as a control parameter, it is shown experimentally thetransition from Van der Pol-like attractors to 6-scroll, but in general, thisscheme can produce an arbitrary number of scrolls. The complexity of everystate is characterized by Lyapunov exponents and autocorrelation coefficients.

Polynomial law for controlling the generation of n-scroll chaotic attractors in an optoelectronic delayed oscillator