Update (3.0) to LyapXool: Quadratic programming

IF 2.4 4区计算机科学 Q2 COMPUTER SCIENCE, SOFTWARE ENGINEERING

SoftwareX Pub Date : 2024-11-06 DOI:10.1016/j.softx.2024.101935

Carlos Argáez

引用次数: 0

Abstract

This is an update to PII: S2352711020303290, LyapXool is a C＋＋ program to compute complete Lyapunov functions and their orbital derivatives for any dynamical system expressed by an autonomous ordinary differential equation. New methods and improvements made in the third version are discussed. In particular, the computation of complete Lyapunov functions within quadratic programming methods are now computed by the software. These new approaches can be used to better analyse the behaviour of dynamical systems expressed as systems of autonomous equations. The structure of the program is object-oriented rather than procedural and the output formatting has been restructured to make it easier to understand. The program maintains its user friendliness. This paper describes how the code is organised, how it can be used to compute complete Lyapunov functions and their subsequent properties for dynamical systems, and it provides an interesting example of its application.

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更新 (3.0) 至 LyapXool：二次编程

本文是对 PII: S2352711020303290 的更新，LyapXool 是一个 C＋＋程序，用于计算自主常微分方程表达的任何动力系统的完整 Lyapunov 函数及其轨道导数。本文讨论了第三版中的新方法和改进之处。特别是，软件现在可以计算二次编程方法中的完整 Lyapunov 函数。这些新方法可用于更好地分析以自主方程系统表示的动力系统的行为。程序的结构是面向对象的，而不是程序化的，输出格式也经过了调整，使其更易于理解。程序保持了用户友好性。本文介绍了代码的组织方式，如何使用它来计算完整的李亚普诺夫函数及其动态系统的后续属性，并提供了一个有趣的应用实例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

SoftwareX COMPUTER SCIENCE, SOFTWARE ENGINEERING-

CiteScore

5.50

自引率

2.90%

发文量

184

审稿时长

9 weeks

期刊介绍： SoftwareX aims to acknowledge the impact of software on today''s research practice, and on new scientific discoveries in almost all research domains. SoftwareX also aims to stress the importance of the software developers who are, in part, responsible for this impact. To this end, SoftwareX aims to support publication of research software in such a way that: The software is given a stamp of scientific relevance, and provided with a peer-reviewed recognition of scientific impact; The software developers are given the credits they deserve; The software is citable, allowing traditional metrics of scientific excellence to apply; The academic career paths of software developers are supported rather than hindered; The software is publicly available for inspection, validation, and re-use. Above all, SoftwareX aims to inform researchers about software applications, tools and libraries with a (proven) potential to impact the process of scientific discovery in various domains. The journal is multidisciplinary and accepts submissions from within and across subject domains such as those represented within the broad thematic areas below: Mathematical and Physical Sciences; Environmental Sciences; Medical and Biological Sciences; Humanities, Arts and Social Sciences. Originating from these broad thematic areas, the journal also welcomes submissions of software that works in cross cutting thematic areas, such as citizen science, cybersecurity, digital economy, energy, global resource stewardship, health and wellbeing, etcetera. SoftwareX specifically aims to accept submissions representing domain-independent software that may impact more than one research domain.