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

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

doi:10.1088/0256-307X/21/12/013

Author(s)

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

Detail(s)

Original language	English
Pages (from-to)	2365-2368
Journal / Publication	Chinese Physics Letters
Volume	21
Issue number	12
Publication status	Published - Dec 2004
Externally published	Yes

Link(s)

DOI	DOI https://doi.org/10.1088/0256-307X/21/12/013 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-10844238123&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(d7affe2c-6a7c-4ded-897d-5bcf70669bdb).html

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)

[ RIS ] [ BibTeX ]

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 journal › peer-review

Wang, X, Tian, X, Wang, H-L, Ouyang, Q & Li, H 2004, 'Additive temporal coloured noise induced eckhaus instability in complex Ginzburg-Landau equation system', Chinese Physics Letters, vol. 21, no. 12, pp. 2365-2368. https://doi.org/10.1088/0256-307X/21/12/013

Wang, X., Tian, X., Wang, H-L., Ouyang, Q., & Li, H. (2004). Additive temporal coloured noise induced eckhaus instability in complex Ginzburg-Landau equation system. Chinese Physics Letters, 21(12), 2365-2368. https://doi.org/10.1088/0256-307X/21/12/013

Wang X, Tian X, Wang H-L, Ouyang Q, Li H. Additive temporal coloured noise induced eckhaus instability in complex Ginzburg-Landau equation system. Chinese Physics Letters. 2004 Dec;21(12):2365-2368. https://doi.org/10.1088/0256-307X/21/12/013

Wang, Xin ; Tian, Xu ; Wang, Hong-Li ; Ouyang, Qi ; Li, Hao. / Additive temporal coloured noise induced eckhaus instability in complex Ginzburg-Landau equation system. In: Chinese Physics Letters. 2004 ; Vol. 21, No. 12. pp. 2365-2368.