Formation and instability of spiral wave induced by Gaussian coloured noise

• 来源期刊: 中国物理B（英文版）
• 关键词: hyperchaotic synchronization fuzzy modelling T-S fuzzy model exact linearization
• 年，卷（期）: 2008,（11）
• 页码范围: 4047-4055
• 页数: 9页
• 语种: 英文

摘要

In this paper,we studied the effect of Gauesian 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.