Additive temporal coloured noise induced eckhaus instability in complex Ginzburg-Landau equation system

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Author(s)

  • Xin Wang
  • Xu Tian
  • Hong-Li Wang
  • Qi Ouyang
  • Hao Li

Detail(s)

Original languageEnglish
Pages (from-to)2365-2368
Journal / PublicationChinese Physics Letters
Volume21
Issue number12
Publication statusPublished - Dec 2004
Externally publishedYes

Abstract

The effect of additive coloured noises, which are correlated in time, on one-dimensional travelling waves in the complex Ginzburg-Landau equation is studied by numerical simulations. We found that a small coloured noise with temporal correlation could considerably influence the stability of one-dimensional wave trains. There exists an optimal temporal correlation of noise where travelling waves are the most vulnerable. To elucidate the phenomena, we statistically calculated the convective velocities V g of the wave packets, and found that the coloured noise with an appropriate temporal correlation can decrease V g, making the system convectively more unstable.

Citation Format(s)

Additive temporal coloured noise induced eckhaus instability in complex Ginzburg-Landau equation system. / Wang, Xin; Tian, Xu; Wang, Hong-Li; Ouyang, Qi; Li, Hao.

In: Chinese Physics Letters, Vol. 21, No. 12, 12.2004, p. 2365-2368.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review