Video/Audio Open Access

Excitation wave propagation on London street network. Oregonator model.

Andrew Adamatzky

Supplementary material to paper 

Andrew Adamatzky, Neil Phillips, Roshan Weerasekera, Michail-Antisthenis Tsompanas, and Georgios Ch. Sirakoulis

Street map analysis with excitable chemical medium. Phys. Rev. E . Accepted 19 June 2018

https://journals.aps.org/pre/accepted/7c072R1eD7e1c71d762165a4977a6cb036ce6e12e

 

Files:

 

London_Eps_0_02_Fi_0_065_long --> $\phi=0.065$

London_Eps_0_02_Fi_0_075_long --> $\phi=0.075$

Time lapsed snapshots of a single wave-fragment recorded every 150\textsuperscript{th} step of numerical integration.

lapse_eps_0.02_fi0.064.jpg lapse_eps_0.02_fi0.063.jpg lapse_eps_0.02_fi0.062.jpg lapse_eps_0.02_fi0.061.jpg lapse_eps_0.02_fi0.06.jpg lapse_eps_0.02_fi0.059.jpg lapse_eps_0.02_fi0.058.jpg lapse_eps_0.02_fi0.056.jpg lapse_eps_0.02_fi0.055.jpg lapse_eps_0.02_fi0.066.jpg lapse_eps_0.02_fi0.054.jpg lapse_eps_0.02_fi0.052.jpg lapse_eps_0.02_fi0.05.jpg lapse_eps_0.02_fi0.067.jpg lapse_eps_0.02_fi0.068.jpg lapse_eps_0.02_fi0.069.jpg lapse_eps_0.02_fi0.07.jpg lapse_eps_0.02_fi0.071.jpg lapse_eps_0.02_fi0.065.jpg lapse_eps_0.02_fi0.074.jpg lapse eps_0.02_fi0.076.jpg lapse_eps_0.02_fi0.073.jpg lapse eps_0.02_fi0.077.jpg lapse_eps_0.02_fi0.075.jpg lapse_eps_0.02_fi0.072.jpg

Coverage frequency is visualised in the images below (see details in the paper)

coverageFrequency eps_002_fi0076.jpg coverageFrequency eps_002_fi0077.jpg coverageFrequency eps_002_fi0078.jpg coverageFrequency eps_002_fi0079.jpg coverageFrequency eps_002_fi0080.jpg coverageFrequency eps_002_fi0081.jpg coverageFrequency eps_002_fi0082.jpg coverageFrequency eps_002_fi0083.jpg coverageFrequency eps_002_fi0084.jpg coverageFrequency eps_002_fi0085.jpg coverageFrequency_eps_0.02_fi0.07.jpg coverageFrequency_eps_0.02_fi0.052.jpg coverageFrequency_eps_0.02_fi0.054.jpg coverageFrequency_eps_0.02_fi0.055.jpg coverageFrequency_eps_0.02_fi0.056.jpg coverageFrequency_eps_0.02_fi0.058.jpg coverageFrequency_eps_0.02_fi0.059.jpg coverageFrequency_eps_0.02_fi0.061.jpg coverageFrequency_eps_0.02_fi0.062.jpg coverageFrequency_eps_0.02_fi0.063.jpg coverageFrequency_eps_0.02_fi0.064.jpg coverageFrequency_eps_0.02_fi0.065.jpg coverageFrequency_eps_0.02_fi0.066.jpg coverageFrequency_eps_0.02_fi0.067.jpg coverageFrequency_eps_0.02_fi0.068.jpg coverageFrequency_eps_0.02_fi0.069.jpg coverageFrequency_eps_0.02_fi0.071.jpg coverageFrequency_eps_0.02_fi0.072.jpg coverageFrequency_eps_0.02_fi0.073.jpg coverageFrequency_eps_0.02_fi0.074.jpg coverageFrequency_eps_0.02_fi0.075.jpg coverageFrequency_eps_002_fi0050.jpg coverageFrequency_eps_002_fi0060.jpg

Dynamics of integral excitation

activity eps_0.02_fi0.050.txt activity eps_0.02_fi0.052.txt activity eps_0.02_fi0.054.txt activity eps_0.02_fi0.055.txt activity eps_0.02_fi0.056.txt activity eps_0.02_fi0.057.txt activity eps_0.02_fi0.058.txt activity eps_0.02_fi0.059.txt activity eps_0.02_fi0.060.txt activity eps_0.02_fi0.061.txt activity eps_0.02_fi0.062.txt activity eps_0.02_fi0.063.txt activity eps_0.02_fi0.064.txt activity eps_0.02_fi0.065.txt activity eps_0.02_fi0.066.txt activity eps_0.02_fi0.067.txt activity eps_0.02_fi0.068.txt activity eps_0.02_fi0.069.txt activity eps_0.02_fi0.070.txt activity eps_0.02_fi0.071.txt activity eps_0.02_fi0.072.txt activity eps_0.02_fi0.073.txt activity eps_0.02_fi0.074.txt activity eps_0.02_fi0.075.txt activity eps_0.02_fi0.076.txt activity eps_0.02_fi0.077.txt activity eps_0.02_fi0.078.txt activity eps_0.02_fi0.079.txt activity eps_0.02_fi0.080.txt activity eps_0.02_fi0.081.txt activity eps_0.02_fi0.082.txt activity eps_0.02_fi0.083.txt activity eps_0.02_fi0.084.txt activity eps_0.02_fi0.085.txt

Abstract 

Belousov-Zhabotinsky (BZ) thin layer solution is a fruitful substrate for designing unconventional computing devices. A range of logical circuits, wet electronic devices, and neuromorphic prototypes have been constructed. Information processing in BZ computing devices is based on interaction of oxidation (excitation) wave fronts. Dynamics of the wave fronts propagation is programmed by geometrical constraining and interaction of colliding wave fronts is tuned by illumination. We apply the principles of BZ computing to explore a geometry of street networks. We use two-variable Oregonator equations, the most widely accepted and verified in laboratory experiments model of BZ, to study propagation of excitation wave fronts for a range of excitability parameters, gradual transition from excitable to sub-excitable to non-excitable. We demonstrate a pruning strategy adopted by the medium with decreasing excitability when wider and ballistically appropriate streets are selected. We explain mechanics of streets selection and pruning. The results of the paper will be used in future studies of studying dynamics of cities and characterising geometry of street networks.

Earlier draft (missing some new findings presented in PRE paper) is on arXiv: 

https://arxiv.org/abs/1803.01632

 

 

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London_Eps_0_02_Fi_0_065_long.mov
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London_Eps_0_02_Fi_0_075_long.mov
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