Publications

  1. Noise-Assisted Synchronization in Networks of Coupled Mathieu-Duffing Oscillators
    T. Breunung & B. Balachandran, Nonlinear Dynamics, (2025).
    [DOI] [YouTube]


  2. Nonlinear Vibration Attenuation via Stochastic Response Modification
    T. Breunung & B. Balachandran, Journal of Computational and Nonlinear Dynamics, (2025).
    [DOI]


  3. Learning global linear representations of nonlinear dynamics
    T. Breunung & F. Kogelbauer, Nonlinear Dynamics,  113:9529–9549, (2025).
    [DOI] [Code] [YouTube]






  4. 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]


  5. 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]


  6. Asymptotic stability of quasi-periodic orbits
    T. Breunung, Proceeding of the Royal Society A, 478: 20210787 (2022)
    [DOI] [Code]


  7. 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]


  8. Existence of quasi-periodic responses in quasi-periodically forced nonlinear mechanical systems
    T. Breunung, Nonlinear Dynamics, 105:1977-2004 (2021)
    [DOI]


  9. When does the method of harmonic balance give a correct prediction for mechanical systems?
    F. Kogelbauer & T. Breunung, Applicable Analysis, 1-19 (2021)
    [DOI]


  10. 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]


  11. 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]


  12. 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]


  13. 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]