Mixed-mode oscillations in slow-fast delayed optoelectronic systems

Jimmi H. Talla Mbé, Alain F. Talla, Geraud R. Goune Chengui, Aurélien Coillet, Laurent Larger, Paul Woafo, and Yanne K. Chembo
Phys. Rev. E 91, 012902 – Published 5 January 2015

Abstract

In this article, we investigate the dynamical behavior of breathers in optoelectronic oscillators from the standpoint of mixed-mode oscillations. In the phase space, these breathers are composite oscillations that are damped to the attractive branches of an invariant manifold. Our study shows that the emergence of breather dynamics is linked to the apparition of inflection points in the phase space, and we develop an analytical framework based on the Liénard reduction form in order to provide an analytical insight into this phenomenology. Our theoretical results are in excellent agreement with experimental measurements.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 9 May 2014

DOI:https://doi.org/10.1103/PhysRevE.91.012902

©2015 American Physical Society

Authors & Affiliations

Jimmi H. Talla Mbé1,2,*, Alain F. Talla1,2, Geraud R. Goune Chengui1,2, Aurélien Coillet3,†, Laurent Larger3, Paul Woafo1, and Yanne K. Chembo3

  • 1Laboratory of Modelling and Simulation in Engineering, Biomimetics and Prototypes, University of Yaoundé I, Department of Physics, P.O. Box 812, Yaoundé, Cameroon
  • 2African Center of Excellence for Information and Communication Technologies (CETIC), Polytechnic School of Yaoundé, P.O. Box 8390 Yaoundé, Cameroon
  • 3FEMTO-ST Institute [CNRS UMR6174], Optics Department, 15B Avenue des Montboucons, 25030 Besançon Cedex, France

  • *Corresponding author: jhtallam@yahoo.fr
  • Now at NIST, Boulder, CO 80305, USA.

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 91, Iss. 1 — January 2015

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×