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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Heugel, Toni L.

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http://nbn-resolving.de/urn:nbn:de:bsz:352-2-75mxaiysq8wf4
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https://doi.org/10.21468/SciPostPhysCodeb.6
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CC BY 4.0

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Deutsche Forschungsgemeinschaft (DFG): 449653034
Swiss National Science Foundation: CRSII5 177198/1
Swiss National Science Foundation: PP00P2_190078

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Erschienen in

SciPost Physics Codebases. SciPost Foundation. 2022(6). Verfügbar unter: 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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Item type: Datensatz ,
Codebase release 0.5 for HarmonicBalance.jl
(2022) Kosata, Jan; del Pino, Javier; Heugel, Toni L.; Zilberberg, Oded

Zitieren

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). Verfügbar unter: doi: 10.21468/SciPostPhysCodeb.6
BibTex
@article{Kosata2022Harmo-58428,
  title={HarmonicBalance.jl : A Julia suite for nonlinear dynamics using harmonic balance},
  year={2022},
  doi={10.21468/SciPostPhysCodeb.6},
  number={6},
  journal={SciPost Physics Codebases},
  author={Kosata, Jan and del Pino, Javier and Heugel, Toni L. and Zilberberg, Oded}
}
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https://scipost.org/10.21468/SciPostPhysCodeb.6-r0.5
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