LyapXool – a program to compute complete Lyapunov functions | Zendy

Carlos Argáez | Zendy; J.C. Berthet | Zendy; Hjörtur Björnsson | Zendy; Peter Giesl | Zendy; Sigurður Hafstein | Zendy

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LyapXool – a program to compute complete Lyapunov functions

Author(s) -

Carlos Argáez,

J.C. Berthet,

Hjörtur Björnsson,

Peter Giesl,

Sigurður Hafstein

Publication year - 2019

Publication title -

softwarex

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.528

H-Index - 21

ISSN - 2352-7110

DOI - 10.1016/j.softx.2019.100325

Subject(s) - lyapunov function , ordinary differential equation , computer science , code (set theory) , set (abstract data type) , dynamical systems theory , program code , differential equation , dynamical system (definition) , lyapunov equation , differential (mechanical device) , algebra over a field , autonomous system (mathematics) , mathematics , theoretical computer science , programming language , pure mathematics , lyapunov exponent , mathematical analysis , artificial intelligence , physics , quantum mechanics , nonlinear system , chaotic , thermodynamics

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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