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Algorithmic Approaches for Assessing Multiscale Irreversibility in Time Series: Review and Comparison.

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Summary
This summary is machine-generated.

This study reviews methods for detecting time irreversibility in complex systems. Current algorithms show limitations, indicating no single method effectively quantifies multiscale time asymmetry.

Keywords:
irreversibilitymultiscaletime-reversal symmetry breaking

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Area of Science:

  • Physics
  • Complex Systems Analysis
  • Dynamical Systems Theory

Background:

  • Many physical and biological systems exhibit time asymmetry, a characteristic of irreversible processes.
  • Time-reversal symmetry breaking is a key feature of non-equilibrium systems, reflecting energy dissipation.
  • Quantifying irreversibility across diverse timescales necessitates multiscale analytical approaches.

Purpose of the Study:

  • To review and evaluate algorithmic solutions for detecting time irreversibility.
  • To assess the performance and limitations of these methods in a multiscale context.
  • To provide practical guidelines for researchers studying multiscale time irreversibility.

Main Methods:

  • Review of existing algorithms for time irreversibility detection.
  • Evaluation using well-known synthetic dynamical systems.
  • Comparative analysis of method performance across different time scales.

Main Results:

  • Few algorithms demonstrate general applicability for detecting time irreversibility.
  • Most tested methods produce conflicting results when applied to the same data.
  • A universal "one size fits all" solution for multiscale time irreversibility is not yet available.

Conclusions:

  • The development of robust multiscale time irreversibility detection methods remains an open challenge.
  • Practitioners should be aware of the limitations and potential conflicts between different analytical approaches.
  • Further research is needed to establish a comprehensive understanding of multiscale time irreversibility.