What question did this study set out to answer?

To establish a reproducible methodological standard for detecting regime transitions in non-Markovian dissipative systems.

February 27, 2026Open Access

Parameter Triad (α, βᵣel, γ): A Universal Calibration and Falsification Protocol for Detecting Regime Transitions in Complex Systems (v1. 1. 2)

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This preprint defines a calibration protocol for detecting regime transitions in complex systems, suggesting a reproducible methodology.

To establish a reproducible methodological standard for detecting regime transitions in non-Markovian dissipative systems.
Defined the triad (α, β_rel, γ) for observational time series analysis.
Developed a falsification protocol (G0–G4) to validate the methodology.
Utilized methods like DFA-2 and ordinal patterns for quantifying key parameters.
α quantifies long-range dependence, β_rel indicates effective relaxation scale, and γ measures time-reversal asymmetry.
Provided a phenomenological model with two fixed points to understand regime transitions.
Introduced stability tests and artifact controls to validate findings.

CHECHELNITSKY IGOR (2026) studied this question.

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February 27, 2026Open Access

View Full Paper

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Authors

This preprint defines a calibration protocol for detecting regime transitions in complex systems, suggesting a reproducible methodology.

To establish a reproducible methodological standard for detecting regime transitions in non-Markovian dissipative systems.
Defined the triad (α, β_rel, γ) for observational time series analysis.
Developed a falsification protocol (G0–G4) to validate the methodology.
Utilized methods like DFA-2 and ordinal patterns for quantifying key parameters.
α quantifies long-range dependence, β_rel indicates effective relaxation scale, and γ measures time-reversal asymmetry.
Provided a phenomenological model with two fixed points to understand regime transitions.
Introduced stability tests and artifact controls to validate findings.

CHECHELNITSKY IGOR (2026) studied this question.

View Full Paper

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