scholarly journals Stratified Spatiotemporal Chaos in Anisotropic Reaction-Diffusion Systems

1999 ◽  
Vol 83 (13) ◽  
pp. 2664-2667 ◽  
Author(s):  
Markus Bär ◽  
Aric Hagberg ◽  
Ehud Meron ◽  
Uwe Thiele
Keyword(s):  
Reaction Diffusion ◽  
Spatiotemporal Chaos ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems ◽  
Anisotropic Reaction Diffusion

scholarly journals Spatiotemporal chaos and quasipatterns in coupled reaction–diffusion systems

2020 ◽  
Vol 409 ◽  
pp. 132475 ◽  
Author(s):  
Jennifer K. Castelino ◽  
Daniel J. Ratliff ◽  
Alastair M. Rucklidge ◽  
Priya Subramanian ◽  
Chad M. Topaz
Keyword(s):  
Reaction Diffusion ◽  
Spatiotemporal Chaos ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems ◽  
Coupled Reaction

scholarly journals Stereo Algorithm with Anisotropic Reaction-Diffusion Systems

10.5772/46025 ◽  
2012 ◽  
Author(s):  
Atsushi Nomura ◽  
Koichi Okada ◽  
Hidetoshi Miike ◽  
Yoshiki Mizukami ◽  
Makoto Ichikawa ◽  
...  
Keyword(s):  
Reaction Diffusion ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems ◽  
Anisotropic Reaction Diffusion ◽  
Stereo Algorithm

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.

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