Breathing spiral waves in the chlorine dioxide–iodine–malonic acid reaction-diffusion system

2008 ◽  
Vol 78 (2) ◽  
Author(s):  
Igal Berenstein ◽  
Alberto P. Muñuzuri ◽  
Lingfa Yang ◽  
Milos Dolnik ◽  
Anatol M. Zhabotinsky ◽  
...  
Keyword(s):  
Malonic Acid ◽  
Chlorine Dioxide ◽  
Reaction Diffusion ◽  
Spiral Waves ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Acid Reaction

Inducing and modulating spiral waves by delayed feedback in a uniform oscillatory reaction–diffusion system

2010 ◽  
Vol 371 (1-3) ◽  
pp. 60-65 ◽  
Author(s):  
Haixiang Hu ◽  
Xiaochun Li ◽  
Zhiming Fang ◽  
Xu Fu ◽  
Lin Ji ◽  
...  
Keyword(s):  
Reaction Diffusion ◽  
Delayed Feedback ◽  
Spiral Waves ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Oscillatory Reaction

SPIRAL WAVE MAINTAINED BY NOISE

2004 ◽  
Vol 04 (03) ◽  
pp. L447-452 ◽  
Author(s):  
AI ZHONG LEI ◽  
QIAN SHU LI ◽  
WEIGUO XU ◽  
DAIPING HU
Keyword(s):  
White Noise ◽  
Numerical Simulations ◽  
Noise Level ◽  
Gaussian White Noise ◽  
Spiral Wave ◽  
Reaction Diffusion ◽  
Spiral Waves ◽  
Reaction Diffusion System ◽  
Diffusion System ◽  
Zero Level

The effect of Gaussian white noise on a chemical wavefront is studied in a modified FitzHugn–Nagumo model by applying numerical simulations. A rotating spiral waves can be formed if the medium is excitable enough and the fronts has a free end, when the reaction diffusion system is disturbed by a certain non-zero level noise. It is counterintuitive that noise plays a constructive role in the product and propagation of single spiral waves in this letter. Weak or strong noise will make against the product and propagation of spiral waves. In a certain noise level, spiral wave can be maintained in a medium, where such spiral waves cannot be observed in the absence of the noise.

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