Published October 16, 2025
| Version v19
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On The Theory of Partial Difference Equations: From Numerical Methods to Language of Complexity
Description
Cellular Automata, Sandpile Model, and Forest Fire Model are Partial Difference Equations.
New: Octa Sandpile Fractal Figure.
If you are interested in further discussion, feel free to contact me. This is my e-mail, besto2852@gmail.com.
ORCID: https://orcid.org/0009-0009-8368-3858
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Additional details
Dates
- Submitted
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2025-06-07
References
- Itoh, M., & Chua, L. O. (2009). Difference Equations for Cellular Automata. International Journal of Bifurcation and Chaos, 19(3), 805–830. https://doi.org/10.1142/S0218127409023317
- Strogatz, S. H. (2000). From Kuramoto to Crawford: Exploring the Onset of Synchronization in Populations of Coupled Oscillators. Physica D: Nonlinear Phenomena, 143(1–4), 1–20. https://doi.org/10.1016/S0167-2789(00)00094-4
- Bak, P., Tang, C., & Wiesenfeld, K. (1987). Self-Organized Criticality: An Explanation of 1/f Noise. Physical Review Letters, 59(4), 381–384. https://doi.org/10.1103/PhysRevLett.59.381