Publikation: HarmonicBalance.jl : A Julia suite for nonlinear dynamics using harmonic balance
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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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KOSATA, 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.6BibTex
@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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