Pulsing dynamics in randomly wired glider cellular automata
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.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2018
- DOI:
- 10.48550/arXiv.1806.06416
- arXiv:
- arXiv:1806.06416
- Bibcode:
- 2018arXiv180606416W
- Keywords:
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- Nonlinear Sciences - Cellular Automata and Lattice Gases;
- Quantitative Biology - Tissues and Organs
- E-Print:
- Changes: the title is altered ("glider" replaces "complex") + some revisions, additions and corrections, 32 pages, 21 figures