Multirhythmicity in an optoelectronic oscillator with large delay


Journal Article

© 2015 American Physical Society. An optoelectronic oscillator exhibiting a large delay in its feedback loop is studied both experimentally and theoretically. We show that multiple square-wave oscillations may coexist for the same values of the parameters (multirhythmicity). Depending on the sign of the phase shift, these regimes admit either periods close to an integer fraction of the delay or periods close to an odd integer fraction of twice the delay. These periodic solutions emerge from successive Hopf bifurcation points and stabilize at a finite amplitude following a scenario similar to Eckhaus instability in spatially extended systems. We find quantitative agreements between experiments and numerical simulations. The linear stability of the square waves is substantiated analytically by determining the stable fixed points of a map.

Full Text

Duke Authors

Cited Authors

  • Weicker, L; Erneux, T; Rosin, DP; Gauthier, DJ

Published Date

  • January 13, 2015

Published In

Volume / Issue

  • 91 / 1

Electronic International Standard Serial Number (EISSN)

  • 1550-2376

International Standard Serial Number (ISSN)

  • 1539-3755

Digital Object Identifier (DOI)

  • 10.1103/PhysRevE.91.012910

Citation Source

  • Scopus