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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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A Dynamical Systems Theory of Coherence Architecture

Authors: Rainio, Lauri Elias;

A Dynamical Systems Theory of Coherence Architecture

Abstract

Resolves three open problems from prior corpus papers. OP-1: state space is X = D×A×S, a product Banach space. OP-2: coherence potential V = ε² is a Lyapunov function decreasing along trajectories under the contraction condition. OP-3: contraction condition is α < 2/L²_Φ, giving a unique fixed point by the Banach Fixed Point Theorem. Formalizes declaration space D ⊆ P(S) as a constraint set with Hausdorff metric. The corpus is now mathematically closed at the dynamical systems level.

Keywords

dynamical systems, Banach space, Lyapunov, contraction, fixed point, coherence architecture, declaration space, Spektre corpus

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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