The Universal Stability Law: A Unified Framework for Nonlinear Pattern Formation and Stability Transitions
Year: 2025
Type: article
Abstract: This work introduces the Universal Stability Law (USL), a general principle predicting stability and pattern transitions across nonlinear systems. The law defines the boundary between ordered and unstable regimes by the ratio ϕ=F/C\phi = F/Cϕ=F/C, where FFF represents driving and CCC dissipation. Using simulations of reaction–diffusion fronts, coupled-field models, and noise-driven systems, we demonstrate that F=CF=CF=C universally marks the onset of instability. The study unifies diverse domains — from morphogenesis and ecology to neural dynamics — under a single geometric criterion for nonlinear stability. All data and simulation scripts are provided for full reproducibility.
Author: Muñoz, Jonatan
Language: English
Subfield: Computer Networks and Communications
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7093293074
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