English

Pulsing dynamics in randomly wired glider cellular automata

Cellular Automata and Lattice Gases 2021-03-02 v2 Tissues and Organs

Abstract

Sustained rhythmic oscillations, pulsing dynamics, emerge spontaneously when the local connection scheme is randomised in 3-value cellular automata that feature"glider" dynamics. Time-plots of pulsing measures maintain a distinct waveform for each glider rule, and scatter plots of entropy/density and the density return-map show unique signatures, which have the characteristics of chaotic strange attractors. We present case studies, possible mechanisms, and implications for oscillatory networks in biology.

Keywords

Cite

@article{arxiv.1806.06416,
  title  = {Pulsing dynamics in randomly wired glider cellular automata},
  author = {Andrew Wuensche and Edward Coxon},
  journal= {arXiv preprint arXiv:1806.06416},
  year   = {2021}
}

Comments

Changes: the title is altered ("glider" replaces "complex") + some revisions, additions and corrections, 32 pages, 21 figures

R2 v1 2026-06-23T02:32:28.209Z