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March 18, 20260 citationsOpen Access

Blind-Spot Decomposition and Geometry of System Collapse Using Energy-Topology Framework

Blind-Spot Decomposition and the Geometry of System Collapse∗

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Authors

OOOlusegun Osoba Odeyemi

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Overview

A geometric framework demonstrates structural stability control in dynamical systems, suggesting new implications for various domains.

Key Points

  • This research aims to create a geometric framework for detecting and controlling instability in coupled dynamical systems.
  • Developed a Blind-Spot Decomposition Theory (BSDT) energy functional.
  • Validated framework using data from banking, power-grid analysis, and fluid dynamics.
  • Utilized Lyapunov-certified convergence and topological scoring.
  • Achieved AUROC = 0.867 with zero false alarms in banking data.
  • Power-grid AUC reached 0.9997 over a 72-hour lead time.
  • Adaptive viscosity reduced peak vorticity by 1.77 times.

Cite This Study

Olusegun Osoba Odeyemi (2026) studied this question.

synapsesocial.com/papers/69ba42dc4e9516ffd37a3795https://doi.org/10.5281/zenodo.19038782
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