Additive Temporal Coloured Noise Induced Eckhaus Instability in Complex Ginzburg--Landau Equation System
WANG Xin1, TIAN Xu1, WANG Hong-Li1,3, OUYANG Qi1,2,3, LI Hao2
1Department of Physics, Peking University, Beijing 100871
2Centre for Theoretical Biology, Peking University, Beijing 100871
3The Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex Systems (PKU), Peking University, Beijing 100871
Additive Temporal Coloured Noise Induced Eckhaus Instability in Complex Ginzburg--Landau Equation System
WANG Xin1;TIAN Xu1;WANG Hong-Li1,3;OUYANG Qi1,2,3;LI Hao2
1Department of Physics, Peking University, Beijing 100871
2Centre for Theoretical Biology, Peking University, Beijing 100871
3The Beijing-Hong Kong-Singapore Joint Centre for Nonlinear and Complex Systems (PKU), Peking University, Beijing 100871
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 Vg of the wave packets, and found that the coloured noise with an appropriate temporal correlation can decrease Vg, making the system convectively more unstable.
2004, Vol. 21 
