RLDS II: Regime-Limited Dynamical Systems — Theory and Reduction Criteria for Singular ODEs

Part II of the RLDS series. This paper formulates the canonical RLDS framework. It introduces the general class of Regime-Limited Dynamical Systems, defines the thresholds κc, κbdy, and κadm, distinguishes monotone and unimodal geometries of the auxiliary function, and provides explicit reduction criteria (C1–C4) for embedding external models into the RLDS class. Paper I: singular-attractor prototype mathematics. Paper II (this work): canonical RLDS framework and reduction criteria. Paper III: paired observational signature. Paper IV: cosmological consequences under RLDS closure. Paper V: representative microphysical descent to RLDS.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-29
DOI
https://doi.org/10.5281/zenodo.19628881
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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preprint

RLDS II: Regime-Limited Dynamical Systems — Theory and Reduction Criteria for Singular ODEs

Aleksander Kubanski
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

RLDS II: Regime-Limited Dynamical Systems — Theory and Reduction Criteria for Singular ODEs

Aleksander Kubanski
preprint en

Abstract

Part II of the RLDS series. This paper formulates the canonical RLDS framework. It introduces the general class of Regime-Limited Dynamical Systems, defines the thresholds κc, κbdy, and κadm, distinguishes monotone and unimodal geometries of the auxiliary function, and provides explicit reduction criteria (C1–C4) for embedding external models into the RLDS class. Paper I: singular-attractor prototype mathematics. Paper II (this work): canonical RLDS framework and reduction criteria. Paper III: paired observational signature. Paper IV: cosmological consequences under RLDS closure. Paper V: representative microphysical descent to RLDS.

Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
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RLDS II: Regime-Limited Dynamical Systems — Theory and Reduction Criteria for Singular ODEs — Aleksander Kubanski · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS