Street map analysis with excitable chemical medium

Andrew Adamatzky, Neil Phillips, Roshan Weerasekera, Michail-Antisthenis Tsompanas, and Georgios Ch. Sirakoulis
Phys. Rev. E 98, 012306 – Published 13 July 2018

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 programed by geometrical constraints 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 BZ models, to study propagation of excitation wave fronts for a range of excitability parameters, with gradual transition from excitable to subexcitable to nonexcitable. 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 characterizing geometry of street networks.

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  • Received 5 March 2018
  • Revised 3 June 2018

DOI:https://doi.org/10.1103/PhysRevE.98.012306

©2018 American Physical Society

Physics Subject Headings (PhySH)

NetworksNonlinear Dynamics

Authors & Affiliations

Andrew Adamatzky*, Neil Phillips, Roshan Weerasekera, and Michail-Antisthenis Tsompanas§

  • Unconventional Computing Laboratory, University of the West of England, Bristol, United Kingdom

Georgios Ch. Sirakoulis

  • Department of Electrical and Computer Engineering, Democritus University of Thrace, Xanthi, Greece

  • *andrew.adamatzky@uwe.ac.uk
  • neil.phillips@uwe.ac.uk
  • roshan.weerasekera@uwe.ac.uk
  • §antisthenis.tsompanas@uwe.ac.uk
  • gsirak@ee.duth.gr

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Issue

Vol. 98, Iss. 1 — July 2018

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