LyapXool – a program to compute complete Lyapunov functions

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dc.contributorHáskóli Íslandsen_US
dc.contributorUniversity of Icelanden_US
dc.contributor.authorArgáez, Carlos
dc.contributor.authorBerthet, Jean-Claude
dc.contributor.authorBjörnsson, Hjörtur
dc.contributor.authorGiesl, Peter
dc.contributor.authorHafstein, Sigurdur
dc.contributor.departmentScience Institute (UI)en_US
dc.contributor.departmentRaunvísindastofnun (HÍ)en_US
dc.contributor.schoolVerkfræði- og náttúruvísindasvið (HÍ)en_US
dc.contributor.schoolSchool of Engineering and Natural Sciences (UI)en_US
dc.date.accessioned2020-03-31T11:34:20Z
dc.date.available2020-03-31T11:34:20Z
dc.date.issued2019-07
dc.descriptionPublisher's version (útgefin grein)en_US
dc.description.abstractLyapXool is a C++ program to compute complete Lyapunov functions and their orbital derivatives for any two- or three-dimensional dynamical system expressed by an autonomous ordinary differential equation. The program is user-friendly and determines the chain-recurrent set. This paper describes how the code is organized, how it can be used and provides an interesting example of its application.en_US
dc.description.sponsorshipThe first author in this paper is supported by the Icelandic Research Fund (Rannís), Iceland grant number 163074-052 , Complete Lyapunov functions: Efficient numerical computation. The third author in this paper is supported by the Icelandic Research Fund (Rannís), Iceland grant number 152429-051 , Lyapunov Methods and Stochastic Stability.en_US
dc.description.versionPeer Revieweden_US
dc.format.extent100325en_US
dc.identifier.citationArgáez, C., Berthet, J., Björnsson, H., Giesl, P., & Freyr Hafstein, S. (2019). LyapXool – a program to compute complete Lyapunov functions. SoftwareX, 10, SoftwareX, July 2019, Vol.10.en_US
dc.identifier.doi10.1016/j.softx.2019.100325
dc.identifier.issn2352-7110
dc.identifier.journalSoftwareXen_US
dc.identifier.urihttps://hdl.handle.net/20.500.11815/1680
dc.language.isoenen_US
dc.publisherElsevier BVen_US
dc.relation.ispartofseriesSoftwareX;10
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAutonomous ordinary differential equationsen_US
dc.subjectComplete Lyapunov functionsen_US
dc.subjectDynamical systemsen_US
dc.subjectScientific computingen_US
dc.subjectC++ (forritunarmál)en_US
dc.subjectForritunen_US
dc.subjectTölvunarfræðien_US
dc.titleLyapXool – a program to compute complete Lyapunov functionsen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dcterms.licenseThis is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).en_US

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