LyapXool – a program to compute complete Lyapunov functions

LyapXool – a program to compute complete Lyapunov functions

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 t...

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Main Authors: Carlos Argáez, Jean-Claude Berthet, Hjörtur Björnsson, Peter Giesl, Sigurdur Freyr Hafstein
Format: Article
Language:English
Published: Elsevier 2019-07-01
Series:SoftwareX
Online Access:http://www.sciencedirect.com/science/article/pii/S2352711019302109
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spelling doaj-4b56df398c11496aa9acc92c1317828b2020-11-25T02:53:07ZengElsevierSoftwareX2352-71102019-07-0110LyapXool – a program to compute complete Lyapunov functionsCarlos Argáez0Jean-Claude Berthet1Hjörtur Björnsson2Peter Giesl3Sigurdur Freyr Hafstein4Science Institute, University of Iceland, Dunhagi 3, 107 Reykjavík, Iceland; Corresponding author.Vatnaskil, Sídumúli 28, 108 Reykjavík, IcelandScience Institute, University of Iceland, Dunhagi 3, 107 Reykjavík, IcelandDepartment of Mathematics, University of Sussex, United KingdomScience Institute, University of Iceland, Dunhagi 3, 107 Reykjavík, IcelandLyapXool 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. Keywords: Complete Lyapunov functions, C++, Scientific computing, Dynamical systems, Autonomous ordinary differential equationshttp://www.sciencedirect.com/science/article/pii/S2352711019302109
collection DOAJ
language English
format Article
sources DOAJ
author Carlos Argáez
Jean-Claude Berthet
Hjörtur Björnsson
Peter Giesl
Sigurdur Freyr Hafstein
spellingShingle Carlos Argáez
Jean-Claude Berthet
Hjörtur Björnsson
Peter Giesl
Sigurdur Freyr Hafstein
LyapXool – a program to compute complete Lyapunov functions
SoftwareX
author_facet Carlos Argáez
Jean-Claude Berthet
Hjörtur Björnsson
Peter Giesl
Sigurdur Freyr Hafstein
author_sort Carlos Argáez
title LyapXool – a program to compute complete Lyapunov functions
title_short LyapXool – a program to compute complete Lyapunov functions
title_full LyapXool – a program to compute complete Lyapunov functions
title_fullStr LyapXool – a program to compute complete Lyapunov functions
title_full_unstemmed LyapXool – a program to compute complete Lyapunov functions
title_sort lyapxool – a program to compute complete lyapunov functions
publisher Elsevier
series SoftwareX
issn 2352-7110
publishDate 2019-07-01
description 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. Keywords: Complete Lyapunov functions, C++, Scientific computing, Dynamical systems, Autonomous ordinary differential equations
url http://www.sciencedirect.com/science/article/pii/S2352711019302109
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AT hjorturbjornsson lyapxoolaprogramtocomputecompletelyapunovfunctions
AT petergiesl lyapxoolaprogramtocomputecompletelyapunovfunctions
AT sigurdurfreyrhafstein lyapxoolaprogramtocomputecompletelyapunovfunctions
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