Waves and patterns in reaction–diffusion systems. Belousov–Zhabotinsky reaction in water-in-oil microemulsions

2004 ◽  
Vol 47 (9) ◽  
pp. 923-941 ◽  
Author(s):  
Vladimir K Vanag
Keyword(s):  
Reaction Diffusion ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems ◽  
Belousov Zhabotinsky Reaction ◽  
Reaction In Water

Control of spiral instabilities in reaction-diffusion systems

2005 ◽  
Vol 77 (8) ◽  
pp. 1395-1408 ◽  
Author(s):  
Hui-Min Liao ◽  
Min-Xi Jiang ◽  
Xiao-Nan Wang ◽  
Lu-Qun Zhou ◽  
Qi Ouyang
Keyword(s):  
Traveling Waves ◽  
Reaction Diffusion ◽  
Oscillatory System ◽  
Local Area ◽  
Spatiotemporal Chaos ◽  
Oscillatory Regime ◽  
Reaction Diffusion Systems ◽  
Long Wavelength ◽  
Diffusion Systems ◽  
Belousov Zhabotinsky Reaction

Spiral instabilities and their controls are investigated in a reaction-diffusion system using the Belousov-Zhabotinsky reaction. Two spiral instabilities, the long-wavelength instability and the Doppler instability, are reported, which can lead to spatiotemporal chaos. The long-wavelength instability occurs in an oscillatory regime, while the Doppler instability occurs in an excitable regime. To control these two instabilities, two different strategies are proposed according to their defect-generating mechanisms. For the long-wavelength instability in an oscillatory system, the control can be achieved by introducing a local pacemaker, which emits stable traveling waves to sweep off the unstable spiral defects. For the Doppler instability, the control can be achieved by trapping the spiral tip with a local area of higher diffusion coefficient than its surroundings.

scholarly journals Wavelength Selection by Interrupted Coarsening in Reaction-Diffusion Systems

2021 ◽  
Vol 126 (10) ◽  
Author(s):  
Fridtjof Brauns ◽  
Henrik Weyer ◽  
Jacob Halatek ◽  
Junghoon Yoon ◽  
Erwin Frey
Keyword(s):  
Reaction Diffusion ◽  
Wavelength Selection ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems
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