TAG ARCHIVE
dynamical-systems
2 MARIA OS blog articles tagged dynamical-systems, organized as a Bonginkan topic archive for search engines and LLM retrieval.
Judgment OS / Decision Intelligence OS
Core MARIA OS research on turning organizational judgment into executable decision systems.
Agentic Company Architecture
Research on human-agent organizations, delegation boundaries, role topology, and governed autonomy.
Responsibility Gates and AI Governance
Safety, accountability, fail-closed gates, auditability, and human-in-the-loop control for AI agents.
Multi-Agent Mathematics
Formal models for convergence, stability, game theory, graph dynamics, and multi-agent evaluation.
Evidence, RAG, and Knowledge Governance
Evidence bundles, retrieval architecture, Graph RAG, knowledge trust, and auditable reasoning pipelines.
Agentic R&D and Judgment Science
Research operations, simulation labs, judgment science, recursive improvement, and experimental AI governance.
Organizational Learning Dynamics Under Meta-Insight: A Differential Equations Model for System-Wide Intelligence Growth
Modeling how organizational learning rate emerges from meta-cognitive feedback loops via dynamical systems theory, with equilibrium analysis, bifurcation boundaries, and control strategies for sustained intelligence growth
Organizational learning rate (OLR) in multi-agent governance platforms is often treated as a tunable setting instead of an emergent system property. This paper models OLR as the outcome of coupled dynamics among knowledge accumulation, bias decay, and calibration refinement across the MARIA coordinate hierarchy. We formalize a three-dimensional system S(t) = (K(t), B(t), C(t)) with coupled ordinary differential equations, where K is collective knowledge stock, B is aggregate bias level, and C is system-wide calibration quality. We derive equilibria, prove a stable attractor under sufficient meta-cognitive feedback, characterize bifurcation boundaries between learning and stagnation, and map a four-region phase portrait in (K, B, C) space. Across 16 MARIA OS deployments (1,204 agents), the model predicts OLR trajectories with R^2 = 0.91 and flags stagnation risk an average of 21 days before onset.
Human-AI Co-Evolution as a Coupled Dynamical System: Meta-Cognition Mediated Stability in Nonlinear Agent-Human Interactions
A formal dynamical-systems treatment of human-AI interaction stability and how metacognitive control helps reduce capability decay and trust instability
We model the human-AI interaction loop as a coupled dynamical system `X_t = (H_t, A_t)` and analyze stability under metacognition-mediated control through spectral-radius conditions on the coupled Jacobian. Simulations across 1,000 trajectories report 94.2% trust-band stability and 87.6% capability preservation versus uncontrolled baselines.