What question did this study set out to answer?

The aim is to provide a mathematically refined exploration of metastable dynamics in adaptive systems.

March 2, 20260 citationsOpen Access

Meta-Stable Architectures Volume I: Foundations of Metastable Dynamics in Adaptive Systems

Key Points

The aim is to provide a mathematically refined exploration of metastable dynamics in adaptive systems.
Revision of original preprint with new mathematical estimates
Strengthened dissipativity estimates
Formal proof of forward completeness
Clarified underlying assumptions
Improved understanding of dissipativity in adaptive systems
Formal proof demonstrating forward completeness
Clarified assumptions leading to stronger theoretical foundations

Abstract

This Zenodo edition represents a revised and mathematically refined version of the original preprint published on PREPRINTS.RU (2026). The present version includes strengthened dissipativity estimates, formal proof of forward completeness, and clarified assumptions.

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SymbiosisK (Katia) & GPT‑5 (Jippi) (Sat,) studied this question.

synapsesocial.com/papers/69a52e26f1e85e5c73bf191c https://doi.org/https://doi.org/10.5281/zenodo.18815178