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-...
Published in: | SoftwareX |
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Main Authors: | , , , , |
Other Authors: | , , , , , |
Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
Elsevier BV
2019
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Subjects: | |
Online Access: | https://hdl.handle.net/20.500.11815/1680 https://doi.org/10.1016/j.softx.2019.100325 |
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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