LyapXool – a program to compute complete Lyapunov functions

Argáez, Carlos; Berthet, Jean-Claude; Björnsson, Hjörtur; Giesl, Peter; Hafstein, Sigurdur

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dc.contributor	Háskóli Íslands
dc.contributor	University of Iceland
dc.contributor.author	orcid.org/0000-0002-0455-8015 Argáez, Carlos
dc.contributor.author	Berthet, Jean-Claude
dc.contributor.author	Björnsson, Hjörtur
dc.contributor.author	Giesl, Peter
dc.contributor.author	orcid.org/0000-0003-0073-2765 Hafstein, Sigurdur
dc.date.accessioned	2020-03-31T11:34:20Z
dc.date.available	2020-03-31T11:34:20Z
dc.date.issued	2019-07
dc.identifier.citation	Argáez, 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.
dc.identifier.issn	2352-7110
dc.identifier.uri	https://hdl.handle.net/20.500.11815/1680
dc.description	Publisher's version (útgefin grein)
dc.description.abstract	LyapXool 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.
dc.description.sponsorship	The 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.
dc.format.extent	100325
dc.language.iso	en
dc.publisher	Elsevier BV
dc.relation.ispartofseries	SoftwareX;10
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Autonomous ordinary differential equations
dc.subject	Complete Lyapunov functions
dc.subject	Dynamical systems
dc.subject	Scientific computing
dc.subject	C++ (forritunarmál)
dc.subject	Forritun
dc.subject	Tölvunarfræði
dc.title	LyapXool – a program to compute complete Lyapunov functions
dc.type	info:eu-repo/semantics/article
dcterms.license	This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
dc.description.version	Peer Reviewed
dc.identifier.journal	SoftwareX
dc.identifier.doi	10.1016/j.softx.2019.100325
dc.contributor.department	Science Institute (UI)
dc.contributor.department	Raunvísindastofnun (HÍ)
dc.contributor.school	Verkfræði- og náttúruvísindasvið (HÍ)
dc.contributor.school	School of Engineering and Natural Sciences (UI)