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LyapXool – a program to compute complete Lyapunov functions

LyapXool – a program to compute complete Lyapunov functions

Title: LyapXool – a program to compute complete Lyapunov functions
Author: Argáez, Carlos   orcid.org/0000-0002-0455-8015
Berthet, Jean-Claude
Björnsson, Hjörtur
Giesl, Peter
Hafstein, Sigurdur   orcid.org/0000-0003-0073-2765
Date: 2019-07
Language: English
Scope: 100325
University/Institute: Háskóli Íslands
University of Iceland
School: Verkfræði- og náttúruvísindasvið (HÍ)
School of Engineering and Natural Sciences (UI)
Department: Science Institute (UI)
Raunvísindastofnun (HÍ)
Series: SoftwareX;10
ISSN: 2352-7110
DOI: 10.1016/j.softx.2019.100325
Subject: Autonomous ordinary differential equations; Complete Lyapunov functions; Dynamical systems; Scientific computing; C++ (forritunarmál); Forritun; Tölvunarfræði
URI: https://hdl.handle.net/20.500.11815/1680

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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.

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.

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This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

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