LyapXool – a program to compute complete Lyapunov functions

• 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

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