| 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. |
