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May 24, 2026Journal of Vibration and Control

Linear time complexity analysis of time-periodic delayed systems with multiplication free semi-discretization method

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Authors

DBDániel Bachrathy

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Overview

Randomized trial reveals efficient stability analysis of time-periodic delayed systems, indicating broader applicability in engineering.

Key Points

  • The study aims to present the MFSD method for efficient stability and fixed-point analysis of time-periodic delayed differential equations.
  • Introduced the multiplication free semi-discretization method (MFSD)
  • Validated performance through spectral analysis of the delayed Mathieu equation
  • Demonstrated on various engineering cases including a seasonal biological model and multi-cutter turning system
  • MFSD maintains linear scaling even for system resolutions up to 10^6, facilitating stability mapping.
  • Algorithm provides high-fidelity stability assessments for complex dynamics previously deemed computationally inaccessible.
  • Open-source tool available via the SemiDiscretizationMethod.jl package for the research community.

Cite This Study

Dániel Bachrathy (2026) studied this question.

synapsesocial.com/papers/6a12962948a0ea1665672b62https://doi.org/10.1177/10775463261453846
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