Bounded Criticality in Complex Systems

A unified research framework for understanding critical behavior in power grids and AI multi-agent systems.

📊 Key Result

In the IEEE-300 system, suppression peaks inside a finite-width critical band, with a maximum effect near 126 MW.

IEEE-300 finite-width critical band figure

🧠 Core Idea

Real-world systems do not exhibit purely divergent criticality. Instead, we observe a bounded critical regime: a transition region where collapse remains constrained.

This idea connects large-scale power-grid cascading failures with collapse-like behavior in AI multi-agent systems.

📉 Critical Band Evolution

As system size increases, the critical band narrows, approaching a near-discontinuous transition.

Schematic animation: broad band → narrower band → knife-edge-like transition.

🔬 UVP v2 Framework

UVP v2: Universality Validation Pipeline
A reproducible framework for: View Repository

âš¡ Power Grid Studies

Bounded Criticality (Main Study)
IEEE-39 → IEEE-2383 evolution
Open Repository
IEEE-2383 Critical Edge
Near-discontinuous transition with knife-edge behavior (Δ ≈ 1.0)
Open Repository

🤖 AI / Multi-Agent Direction

Bounded Criticality beyond Power Systems
Extending the same framework to error propagation, collapse, and constrained criticality in LLM multi-agent systems.
View Research Profile

📄 Author

Juan Adam — Independent Research