This record provides an overview of the RLDS series, a five-part research program on Regime-Limited Dynamical Systems (RLDS) and their application to dark-sector cosmology. The series develops, in sequence, the mathematical prototype, the canonical RLDS framework, the paired observational signature, the structural cosmological consequences, and a representative microphysical descent to the RLDS attractor. The five parts are: Paper I: RLDS I: On a Global Attractor for a Class of One-Dimensional Autonomous Systems with Singular Restoring Force. DOI: 10.5281/zenodo.19627496 Paper II: RLDS II: Regime-Limited Dynamical Systems --- Theory and Reduction Criteria for Singular ODEs. DOI: 10.5281/zenodo.19628881 Paper III: RLDS III: A Paired Signature of the Dark-Sector Attractor --- Numerical Derivation from the RLDS ODE, Partial Observational Support from DESI DR2, and the Open Growth-Sector Test. DOI: 10.5281/zenodo.19636371 Paper IV: RLDS IV: Three Structural Consequences of a Dark-Sector Attractor --- Inevitable Acceleration, Derived Matter Density, and the Phantom Prediction. DOI: 10.5281/zenodo.19640061 Paper V: RLDS V: Microphysical Emergence of Regime-Limited Dark-Sector Dynamics --- A Representative Reduction from Interacting Field Theory to the RLDS Attractor. DOI: 10.5281/zenodo.19640630 This overview record is intended as the main entry point to the full RLDS series.