Publikation:

HarmonicBalance.jl : A Julia suite for nonlinear dynamics using harmonic balance

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Kosata_2-75mxaiysq8wf4.pdf
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2022

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SciPost Physics Codebases. SciPost Foundation. 2022(6). Available under: doi: 10.21468/SciPostPhysCodeb.6

Zusammenfassung

HarmonicBalance.jl is a publicly available Julia package designed to simplify and solve systems of periodic time-dependent nonlinear ordinary differential equations. Time dependence of the system parameters is treated with the harmonic balance method, which approximates the system's behaviour as a set of harmonic terms with slowly-varying amplitudes. Under this approximation, the set of all possible steady-state responses follows from the solution of a polynomial system. In HarmonicBalance.jl, we combine harmonic balance with contemporary implementations of symbolic algebra and the homotopy continuation method to numerically determine all steady-state solutions and their associated fluctuation dynamics. For the exploration of involved steady-state topologies, we provide a simple graphical user interface, allowing for arbitrary solution observables and phase diagrams. HarmonicBalance.jl is a free software available at https://github.com/NonlinearOscillations/HarmonicBalance.jl.

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ISO 690KOSATA, Jan, Javier DEL PINO, Toni L. HEUGEL, Oded ZILBERBERG, 2022. HarmonicBalance.jl : A Julia suite for nonlinear dynamics using harmonic balance. In: SciPost Physics Codebases. SciPost Foundation. 2022(6). Available under: doi: 10.21468/SciPostPhysCodeb.6
BibTex
@article{Kosata2022Harmo-58428,
  year={2022},
  doi={10.21468/SciPostPhysCodeb.6},
  title={HarmonicBalance.jl : A Julia suite for nonlinear dynamics using harmonic balance},
  number={6},
  journal={SciPost Physics Codebases},
  author={Kosata, Jan and del Pino, Javier and Heugel, Toni L. and Zilberberg, Oded},
  note={Deutsche Forschungsgemeinschaft (DFG) - project number 449653034}
}
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Deutsche Forschungsgemeinschaft (DFG) - project number 449653034
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