Nonlinear diffusion control of defect turbulence in cubic-quintic complex Ginzburg-Landau equation

J.B. Gonpe Tafo; L. Nana; T.C. Kofane

doi:10.1140/epjp/i2012-12075-1

EPJ

Nonlinear diffusion control of defect turbulence in cubic-quintic complex Ginzburg-Landau equation

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

¹ Laboratoire de Mécanique, Département de Physique, Faculté des Sciences, Université de Yaoundé I, P.B.812, Yaoundé, Cameroon
² Laboratoire de Physique fondamentale, Groupe Phénomènes Non Linéaires et Systèmes Complexes, UFD de Physique Fondamentale et Sciences de l’Ingénieur, Université de Douala, P.B.24157, Douala, Cameroon

Received: 27 January 2012
Revised: 22 June 2012
Accepted: 25 June 2012
Published online: 12 July 2012

Abstract

The control of spatiotemporal chaos generated by traveling holes in spatially extended oscillatory media near a subcritical Hopf bifurcation is investigated. Analytical and numerical approaches are proposed for the purpose of this study. This work is done by using the nonlinear diffusion parameter control. We show that the unstable traveling hole in the one-dimensional cubic-quintic complex Ginzburg-Landau equation can be effectively stabilized in the chaotic regime.