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

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

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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(6). Available under: doi: 10.21468/SciPostPhysCodeb.6

@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} }

<rdf:RDF xmlns:dcterms="http://purl.org/dc/terms/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#" xmlns:foaf="http://xmlns.com/foaf/0.1/" xmlns:void="http://rdfs.org/ns/void#" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/58428"> <dc:language>eng</dc:language> <dc:creator>del Pino, Javier</dc:creator> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/41"/> <dcterms:rights rdf:resource="http://creativecommons.org/licenses/by/4.0/"/> <dc:contributor>Kosata, Jan</dc:contributor> <dc:rights>Attribution 4.0 International</dc:rights> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2022-08-30T12:28:09Z</dcterms:available> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/41"/> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/58428"/> <dcterms:title>HarmonicBalance.jl : A Julia suite for nonlinear dynamics using harmonic balance</dcterms:title> <dc:contributor>Heugel, Toni L.</dc:contributor> <dc:contributor>Zilberberg, Oded</dc:contributor> <dc:creator>Heugel, Toni L.</dc:creator> <dc:contributor>del Pino, Javier</dc:contributor> <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/58428/1/Kosata_2-75mxaiysq8wf4.pdf"/> <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/58428/1/Kosata_2-75mxaiysq8wf4.pdf"/> <dc:creator>Kosata, Jan</dc:creator> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dcterms:issued>2022</dcterms:issued> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2022-08-30T12:28:09Z</dc:date> <dcterms:abstract xml:lang="eng">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.</dcterms:abstract> <dc:creator>Zilberberg, Oded</dc:creator> </rdf:Description> </rdf:RDF>

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