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arXiv CS.AI
7/14/2026
Feedback-Coupled Memory Systems in Continuous Time

Feedback-Coupled Memory Systems in Continuous Time

Short summary

This paper formalizes a continuous-time Feedback-Coupled Memory Systems architecture combining Mechanism-Based Intelligence for agent updates with a non-Markovian Coupled Memory Graph Process for environmental dynamics. It derives a Lyapunov stability threshold showing memory dissipation must outpace feedback gain, generalizing prior discrete and bifurcation conditions. Numerical simulations with 2 agents and mean-field validation at 1M agents confirm the threshold and reveal self-reinforcing coordination cascades when violated.

  • •Continuous-time FCMS combines mechanism-based agent updates with non-Markovian environmental memory
  • •Lyapunov stability threshold 4β² < 2ημγ² generalizes discrete and bifurcation conditions
  • •Simulations confirm stability boundary and coordination cascade when threshold is violated

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