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

被引：0

作者：

Carpintero, D. D. ^{[1
,2
]}

Muzzio, J. C. ^{[1
,2
]}

机构：

[1] Univ Nacl La Plata, Fac Ciencias Astron & Geofıs, La Plata, Argentina

[2] UNLP Conicet, Inst Astrofıs La Plata, La Plata, Argentina

来源：

REVISTA MEXICANA DE ASTRONOMIA Y ASTROFISICA | 2023年 / 59卷 / 02期

关键词：

chaos; -; galaxies; kinematics and dynamics - methods; numerical - planets and satellites; dynamical evolution and stability; PHASE-SPACE STRUCTURE; GLOBAL DYNAMICS; PERIODIC-ORBITS; CHAOTIC MOTION; INDICATOR; SPECTRA; MODELS; TOOLS;

D O I：

10.22201/ia.01851101p.2023.59.02.02

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The Lyapunov characteristic exponents are a useful indicator of chaos in astronomical dynamical systems. They are usually computed through a standard, very efficient 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.

引用

页码：171 / 175

页数：5

共 32 条

[1] KOLMOGOROV ENTROPY AND NUMERICAL EXPERIMENTS [J].