Published September 29, 2025
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A Logarithmic First Integral for the Logistic On Site Law in Void Dynamics
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Description
Reproducible reaction–diffusion baselines for the Void Dynamics Model (VDM), including convergence and Q-drift checks, front-speed and dispersion benchmarks, and a logarithmic first-integral/constant-of-motion derivation. This record freezes figures, TeX/MD notes, and QA artifacts to establish priority and enable replication. Companion code/updates will appear in linked GitHub repositories.
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A_Logarithmic_First_Integral_for_the_Logistic_On_Site_Law_in_Void_Dynamics.pdf
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Additional details
Additional titles
- Alternative title (En)
- VDM RD Baseline Validated Methods and QA Invariants
Dates
- Created
-
2025-08-26
Software
- Repository URL
- https://github.com/Neuroca-Inc/Prometheus_Void-Dynamics_Model
- Programming language
- Python
- Development Status
- Active
References
- S. H. Strogatz, Nonlinear Dynamics and Chaos, 2nd ed., Westview, 2015.
- C. H. Edwards, D. E. Penney, Differential Equations and Boundary Value Problems, Pearson.
- J. D. Murray, Mathematical Biology I: An Introduction, 3rd ed., Springer, 2002
- R. A. Fisher, "The wave of advance of advantageous genes," Ann. Eugenics 7 (1937), 355–369.
- A. N. Kolmogorov, I. G. Petrovskii, and N. S. Piskunov, "Study of the diffusion equation with growth of the quantity of matter," Bull. Univ. Moscow, Ser. A (Mathematics and Mechanics) 1 (1937), 1–25.
- Voxtrium. (2025). Voxtrium/GR-DM-Interaction-Theory: SU2-Skyrme-SIDM-Microphysics (v1.0). Zenodo. https://doi.org/10.5281/zenodo.16857209