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

Abstract

Controlled transitions between a hierarchy of n-scroll attractors are investigated in a nonlinear optoelectronic oscillator. Using the system's feedback strength as a control parameter, it is shown experimentally the transition from Van der Pol-like attractors to 6-scroll, but in general, this scheme can produce an arbitrary number of scrolls. The complexity of every state is characterized by Lyapunov exponents and autocorrelation coefficients.

5 pages, 7 figures

References in corpus (1)

• Highly-complex optical signal generation using electro-optical systems with non-linear, non-invertible transmission functions