University of Wisconsin–Madison

Publications

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  1. Frequency stabilization via backbone curve feedback
    T. Breunung, Applied Physics Letters, 129.2 (2026).
    [DOI]
  2. Rotating Cantilever: Escape Dynamics for Different Noise Perturbations
    J. DeBoer, T. Breunung & B. Balachandran,  Journal of Vibration and Acoustics, 1-44 (2026).
    [DOI]
  3. Noise-Assisted Synchronization in Networks of Coupled Mathieu-Duffing Oscillators
    T. Breunung & B. Balachandran, Nonlinear Dynamics, (2025).
    [DOI] [YouTube]
  4. Nonlinear Vibration Attenuation via Stochastic Response Modification
    T. Breunung & B. Balachandran, Journal of Computational and Nonlinear Dynamics, (2025).
    [DOI]
  5. Learning global linear representations of nonlinear dynamics
    T. Breunung & F. Kogelbauer, Nonlinear Dynamics, 113:9529–9549, (2025).
    [DOI] [Code] [YouTube]
  6. Frequency response based identification of nonlinear oscillators
    T. Breunung & B. Balachandran, Journal of Sound and Vibration, 118651 (2024).
    [DOI] [Code] [Data] [YouTube] [Tutorial]
  7. Prediction of freak waves from buoy measurements
    T. Breunung & B. Balachandran, Scientific Reports, 14(1):16048 (2024)
    [DOI] [Code] [Data] [YouTube]
  8. Data-driven, high resolution ocean wave forecasting and extreme wave predictions
    T. Breunung & B. Balachandran, Ocean Engineering, 268, 113271 (2023)
    [DOI] [Code] [YouTube]
  9. Noise Color Influence on Escape Times in Nonlinear Oscillators-Experimental and Numerical Results
    T. Breunung & B. Balachandran, Theoretical and Applied Mechanics Letters, 100420 (2022)[DOI] [YouTube]
  10. Computationally Efficient Simulations of Stochastically Perturbed Nonlinear Dynamical Systems
    T. Breunung &. B. Balachandran, Journal of Computational and Nonlinear Dynamics, 17(9): 091008 (2022)
    [    DOI] [Code]
  11. The deterministic core of stochastically perturbed nonlinear mechanical systems
    T. Breunung, F. Kogelbauer & G. Haller, Proceedings of the Royal Society A, 478:20210933 (2022)
    [DOI] [Code]
  12. Asymptotic stability of quasi-periodic orbits
    T. Breunung, Proceeding of the Royal Society A, 478: 20210787 (2022)
    [DOI] [Code]
  13. Dynamics of circular oscillator arrays subjected to noise
    B. Balachandran, T. Breunung, G. Acar, A. Alofi & J. Yorke, Nonlinear Dynamics, 108(1):1-14 (2022)
    [DOI]
  14. Existence of quasi-periodic responses in quasi-periodically forced nonlinear mechanical systems
    T. Breunung, Nonlinear Dynamics, 105:1977-2004 (2021)
    [DOI]
  15. When does the method of harmonic balance give a correct prediction for mechanical systems?
    F. Kogelbauer & T. Breunung, Applicable Analysis, 1-19 (2021)
    [    DOI]
  16. When does a periodic response exist in a periodically forced multi-degree-of-freedom mechanical system?
    T. Breunung & G. Haller, Nonlinear Dynamics, 98:1761-1780 (2019)
    [DOI]
  17. An approach to account for interfering parametric resonances and anti-resonances applied to examples from rotor dynamics
    T. Breunung, F. Dohnal & B. Pfau, Nonlinear Dynamics, 97:1837-1851 (2019)
    [DOI]
  18. Fast Computation of steady-state response for high-degree-of-freedom nonlinear systems
    S. Jain, T. Breunung & G. Haller, Nonlinear Dynamics, 97:313-341 (2019)
    [DOI] [Code]
  19. Explicit backbone curves from spectral submanifolds of forced-damped nonlinear mechanical systems
    T. Breunung & G. Haller, Proceeding of the Royal Society A, 474: 20180083 (2018)
    [DOI] [Code]