TY - JOUR
T1 - Additive temporal coloured noise induced eckhaus instability in complex Ginzburg-Landau equation system
AU - Wang, Xin
AU - Tian, Xu
AU - Wang, Hong-Li
AU - Ouyang, Qi
AU - Li, Hao
PY - 2004/12
Y1 - 2004/12
N2 - 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.
AB - 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.
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U2 - 10.1088/0256-307X/21/12/013
DO - 10.1088/0256-307X/21/12/013
M3 - RGC 21 - Publication in refereed journal
SN - 0256-307X
VL - 21
SP - 2365
EP - 2368
JO - Chinese Physics Letters
JF - Chinese Physics Letters
IS - 12
ER -