Drift of rigidly rotating spirals under periodic and noisy illuminations

Under the weak deformation approximation, the motion of rigidly rotating spirals induced by periodic and noisy illuminations are investigated analytically. We derive an approximate but explicit formula of the spiral drift velocity directly from the original reaction-diffusion equation. With this formula we are able to explain the main features in the periodic and noisy illuminations induced spiral drift problems. Numerical computations of the Oregonator model are carried out as well, and they agree with the main qualitative conclusions of our analytical results.

This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Hong Zhang, Ning-Jie Wu, He-Ping Ying, Gang Hu, Bambi Hu; Drift of rigidly rotating spirals under periodic and noisy illuminations. J. Chem. Phys. 15 October 2004; 121 (15): 7276–7280. https://doi.org/10.1063/1.1795711 and may be found at https://pubs.aip.org/aip/cha/article/19/1/015117/905678/Graph-analysis-of-cortical-networks-reveals.