Damage-Spreading in Self-Organized Critical Systems
Raffaele Cafiero (PMMH ESPCI Paris, France), Angelo Valleriani (MPI-KG, Potsdam, Germany), Jos\`e Luis Vega (MPI-PKS, Dresden, Germany)
TL;DR
This paper investigates how small perturbations affect the Bak-Sneppen model in one dimension, analyzing damage spreading across various update schemes and providing analytical insights into the long-term behavior of the system.
Contribution
It offers a comprehensive analysis of damage spreading in different versions of the Bak-Sneppen model, including both numerical and analytical results.
Findings
Damage spreading varies with update rules
Analytical expression for asymptotic plateau
Different behaviors observed for random and deterministic updates
Abstract
We study the behavior under perturbations of different versions of Bak-Sneppen (BS) model in 1 + 1 dimension. We focus our attention on the damage-spreading features of the BS model with both random as well as deterministic updating, with sequential as well as parallel updating. In addition, we compute analytically the asymptotic plateau reached by the distance after the growing phase.
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Taxonomy
TopicsNeural Networks and Applications · Cell Image Analysis Techniques · Force Microscopy Techniques and Applications