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

Bicky A Márquez; José J Suárez-Vargas; Javier A Ramírez

doi:10.1063/1.4892947

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

Chaos. 2014 Sep;24(3):033123. doi: 10.1063/1.4892947.

Authors

Bicky A Márquez¹, José J Suárez-Vargas¹, Javier A Ramírez¹

Affiliation

¹ Centro de Física, Instituto Venezolano de Investigaciones Científicas, km. 11 Carretera Panamericana, Caracas 1020-A, Venezuela.

PMID: 25273203
DOI: 10.1063/1.4892947

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.

Publication types

Research Support, Non-U.S. Gov't