Formation and instability of spiral wave induced by Gaussian coloured noise
Gan Zheng-Ning(甘正宁)ab, Ma Jun (马军)c, Zhang Guo-Yong(张国勇)a, Chen Yong (陈勇)ad
a Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China; b College of Electronic and Information Engineering, Changsha University of Science & Technology, Changsha 410076, China; c Department of Physics, Lanzhou University of Technology, Lanzhou 730050, China; d Key Laboratory for Magnetism and Magnetic Materials of the Ministry of Education, Lanzhou University, Lanzhou 730000, China
Abstract In this paper, we studied the effect of Gaussian coloured noise on the formation and instability of spiral waves described by one class of modified FitzHugh--Nagumo equation. It was found that Gaussian coloured noise plays a constructive role in the formation, transition and instability of spiral wave. Too weak or too strong noise may act against the formation of spiral waves. At a certain noise level, spiral wave is maintained in a medium, in which spiral wave cannot be observed in the absence of the noise. It is difficult to make a stable spiral wave into unstable state by Gaussian coloured noise, unless the noise level is very high. The parameter regions of Gaussian coloured noise for spiral forming and spiral instability were given and discussed with numerical simulations.
Received: 03 April 2008
Revised: 17 April 2008
Accepted manuscript online:
Fund: Project supported partially by
National Science Foundation of China (Grant No 10305005) and by the
Fundamental Research Fund for Physics
and Mathematic of Lanzhou University of China.
Cite this article:
Gan Zheng-Ning(甘正宁), Ma Jun (马军), Zhang Guo-Yong(张国勇), Chen Yong(陈勇) Formation and instability of spiral wave induced by Gaussian coloured noise 2008 Chin. Phys. B 17 4047
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