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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Bibliographic Details
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
Description
Summary: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
ISSN:2352-7110