Time-delay autosynchronization control of defect turbulence in the cubic-quintic complex Ginzburg-Landau equation

J. B. Gonpe Tafo, L. Nana, and T. C. Kofane
Phys. Rev. E 88, 032911 – Published 16 September 2013

Abstract

We investigate the effectiveness of a Global time-delay autosynchronization control scheme aimed at stabilizing traveling wave solutions of the cubic-quintic Ginzburg-Landau equation in the Benjamin-Feir-Newell unstable regime. Numerical simulations show that a global control can be efficient and also can create other patterns such as spatiotemporal intermittency regimes, standing waves, or uniform oscillations.

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  • Received 25 January 2013

DOI:https://doi.org/10.1103/PhysRevE.88.032911

©2013 American Physical Society

Authors & Affiliations

J. B. Gonpe Tafo1,*, L. Nana2,†, and T. C. Kofane1,‡

  • 1Laboratoire de Mécanique, Département de Physique, Faculté des Sciences, Université de Yaoundé I, BP 812, Yaoundé, Cameroon
  • 2Laboratoire de Physique Fondamentale, Groupe Phénomènes Non Linéaires et Systèmes Complexes, UFD de Mathématiques, Informatique Appliquée et Physique Fondamentale, Université de Douala, BP 24157, Douala, Cameroon

  • *Corresponding author: joelgbruno@yahoo.fr
  • Corresponding author: la_nanad@yahoo.fr
  • Corresponding author: tckofane@yahoo.com

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Issue

Vol. 88, Iss. 3 — September 2013

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