LyapXool – a program to compute complete Lyapunov functions

Publisher's version (útgefin grein) 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-...

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Bibliographic Details
Published in:SoftwareX
Main Authors: Argáez, Carlos, Berthet, Jean-Claude, Björnsson, Hjörtur, Giesl, Peter, Hafstein, Sigurdur
Other Authors: Science Institute (UI), Raunvísindastofnun (HÍ), Verkfræði- og náttúruvísindasvið (HÍ), School of Engineering and Natural Sciences (UI), Háskóli Íslands, University of Iceland
Format: Article in Journal/Newspaper
Language:English
Published: Elsevier BV 2019
Subjects:
Autonomous ordinary differential equations
Complete Lyapunov functions
Dynamical systems
Scientific computing
C++ (forritunarmál)
Forritun
Tölvunarfræði
Iceland
Online Access:https://hdl.handle.net/20.500.11815/1680
https://doi.org/10.1016/j.softx.2019.100325
Description
Summary:Publisher's version (útgefin grein) 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. 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. Peer Reviewed

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