Relation between the complex Ginzburg-Landau equation and reaction-diffusion System

Relation between the complex Ginzburg-Landau

equation and reaction-diffusion System

Shao Xin;Ren Yi;Ouyang Qi

【期刊名称】《中国物理：英文版》 【年(卷),期】2006(015)003

【摘要】The complex Ginzburg-Landau equation(CGLE)has been used to describe the travelling wave behaviour in reaction-diffusion (RD) systems. We argue that this description is valid only when the RD system is close to the Hopf bifurcation,and is not valid when a RD system is away from the onset.To test this,we study spirals and anti-spirals in the chlorite-iodide-malonic acid (CIMA) reaction and the corresponding CGLE.Numerical simulations confirm that the CGLE can only be applied to the CIMA reaction when it is very near the Hopf onset.

【总页数】5页(513-517)

【关键词】complex Ginzburg-Landau equation;reaction-diffusion system;chlorite-iodide-malonic acid 【作者】Shao Xin;Ren Yi;Ouyang Qi

【作者单位】Department of Physics, Peking University, Beijing 100871, China;Department of Physics, Peking University, Beijing 100871, China;Department of Physics, Peking University, Beijing 100871, China 【正文语种】中文