Dynamic Regimes and Oscillations

2026-03-21 — 00:08

Activity A(t)

Activity over time

Global activity of the system showing sustained dynamic fluctuations.

Correlation M(t)

Correlation

Temporal correlation showing rapid decay followed by stabilization.

?(t) — Internal Structure

Phi

Internal structural signal exhibiting persistent fluctuations.

Dynamic Regimes

Dynamic regimes

Evolution of long-term structure and correlation as a function of noise.

Oscillation Structure

Oscillations

Dominant frequencies revealing structured oscillatory behavior.

Interpretation

  • System exhibits sustained activity over time
  • Memory stabilizes after initial decay
  • Internal structure persists dynamically
  • Noise controls global behavior
  • Emergent oscillatory modes are present