Published December 18, 2025
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On The Theory of Partial Difference Equations: From Numerical Methods to the Language of Complexity
Description
Cellular Automata, Sandpile Model, and Forest Fire Model are Partial Difference Equations.
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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pdemonograph1.pdf
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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