%0 Journal Article %T Additive Temporal Coloured Noise Induced Eckhaus Instability in Complex Ginzburg--Landau Equation System
Additive Temporal Coloured Noise Induced Eckhaus Instability in Complex Ginzburg-Landau Equation System %A WANG Xin %A TIAN Xu %A WANG Hong-Li %A OUYANG Qi %A LI Hao %A
王欣 %A 田旭 %A 王宏利 %A 欧阳颀 %A 李浩 %J 中国物理快报 %D 2004 %I %X 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. %K 05 %K 45 %K -a %K 05 %K 40 %K -a %K 47 %K 54 %K +r
瞬时可加 %K 有色噪声 %K 不稳定性 %K 复变偏微分方程 %K 时空混沌 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=E27DA92E19FE279A273627875A70D74D&aid=F7F26196A51549FE1E98B1AD92AD56A7&yid=D0E58B75BFD8E51C&vid=659D3B06EBF534A7&iid=59906B3B2830C2C5&sid=C61A07EE083A0198&eid=054C27D6C3EE1321&journal_id=0256-307X&journal_name=中国物理快报&referenced_num=0&reference_num=26