Abstract 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.
Received: 14 September 2005
Revised: 14 September 2005
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10274003) and the Department of Science and Technology of China.
Cite this article:
Shao Xin (邵昕), Ren Yi (任毅), Ouyang Qi (欧阳颀) Relation between the complex Ginzburg--Landau equation and reaction--diffusion system 2006 Chinese Physics 15 513
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
