Noise enables conditional recovery from collapse: Probabilistic persistence in threshold-activated systems.
basic_science · Level V
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- Record sourced from PubMed, PMID 41560178.
- Also identified by DOI 10.1103/xgq1-nnqb.
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Abstract
We report a paradoxical phenomenon where stochasticity reverses deterministic collapse in threshold-activated systems. By using a hybrid logistic-sigmoidal map, we show that weak noise alters phase-space topology, enabling probabilistic recovery from extinction. Lyapunov and quasipotential analyses reveal noise-induced metastability and stochastic robustness absent in deterministic frameworks. These results suggest that environmental variability can stabilize nonlinear systems, offering a counternarrative to classical extinction theory.