ON THE CORRECT COMPUTATION OF ALL LYAPUNOV EXPONENTS IN HAMILTONIAN DYNAMICAL SYSTEMS

IF 1.1 4区物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS

Revista Mexicana de Astronomia y Astrofisica Pub Date : 2023-10-01 DOI:10.22201/ia.01851101p.2023.59.02.02

D. D. Carpintero, J. C. Muzzio

引用次数: 0

Abstract

The Lyapunov characteristic exponents are a useful indicator of chaos in astronomical dynamical systems. They are usually computed through a standard, very effcient and neat algorithm published in 1980. However, for Hamiltonian systems the expected result of pairs of opposite exponents is not always obtained with enough precision. We find here why in these cases the initial order of the deviation vectors matters, and how to sort them in order to obtain a correct result.

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哈密顿动力系统中所有李雅普诺夫指数的正确计算

李雅普诺夫特征指数是天文动力系统混沌的一个有用指示。它们通常是通过1980年发布的一个标准的、非常有效的、简洁的算法来计算的。然而，对于哈密顿系统，相反指数对的期望结果并不总是得到足够的精度。我们在这里发现为什么在这些情况下偏差向量的初始顺序很重要，以及如何对它们进行排序以获得正确的结果。

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

Revista Mexicana de Astronomia y Astrofisica 地学天文-天文与天体物理

CiteScore

1.30

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Revista Mexicana de Astronomía y Astrofísica, founded in 1974, publishes original research papers in all branches of astronomy, astrophysics and closely related fields. Two numbers per year are issued and are distributed free of charge to all institutions engaged in the fields covered by the RMxAA.