Journal ArticleDOI
Spiral waves in excitable media due to noise and periodic forcing
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In this article, the effects of external periodic forcing and Gaussian white noise on spiral wave in excitable media with FitzHugh-Nagumo local dynamics were investigated, and it was observed that the noise makes significant effects on the spiral wave with straight-line drift.Abstract:
We investigate the jointly driven effects of external periodic forcing and Gaussian white noise on meandering spiral waves in excitable media with FitzHugh–Nagumo local dynamics. Interesting phenomena resulted from various forcing periods are found, for example, piece-wise line drift, intermittent straight-line drift and so on. We also observe new type of breakup of spiral wave between entrainment bands with 1:1 and 2:1. It is believed that the occurrence of the new type is relevant to the appearance of local bidirectional propagation window. There exist optimized noise intensities which can induce the broadest entrainments and Arnold tongues. Such a phenomenon is referred to as stochastic resonance. It is also observed that the noise makes significant effects on the spiral wave with straight-line drift. Via the tip Fourier spectrum, the varying of tip motion with external periods on the resonance band is interpreted.read more
Citations
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Stochastic simulations of pattern formation in excitable media.
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Effects of noise in excitable systems
Benjamin Lindner,Jordi Garcia-Ojalvo,Jordi Garcia-Ojalvo,Alexander Neiman,Alexander Neiman,Lutz Schimansky-Geier,Lutz Schimansky-Geier +6 more
TL;DR: In this article, the behavior of excitable systems driven by Gaussian white noise is reviewed, focusing mainly on those general properties of such systems that are due to noise, and present several applications of their findings in biophysics and lasers.
Journal ArticleDOI
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Varieties of spiral wave behavior: An experimentalist's approach to the theory of excitable media.
TL;DR: The range of behavioral flexibility of the FitzHugh-Nagumo excitable medium is explored by varying two of its parameters and comparing the results with other excitable media to suggest a generic pattern of parameter dependence.
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