三个谐振子问题的局部 Gram-Schmidt 与协变 Lyapunov 向量及指数
混沌动力学
2015-05-28 v2
摘要
我们比较了三个时间可逆谐振子问题的 Gram-Schmidt 描述与协变相空间基向量描述，这三个问题分别处于二维、三维和四维相空间。二维问题可以解析求解。本文研究的三维和四维问题同时具有混沌性、时间可逆性和耗散性。我们的处理旨在用于教学，拟发表于《非线性科学与数值计算通讯》(Communications in Nonlinear Science and Numerical Computation)，并用于我们关于时间可逆性、计算机模拟与混沌的书籍更新版本。欢迎提出意见。
引用
@article{arxiv.1106.2367,
title = {Local Gram-Schmidt and Covariant Lyapunov Vectors and Exponents for Three Harmonic Oscillator Problems},
author = {Wm. G. Hoover and Carol G. Hoover},
journal= {arXiv preprint arXiv:1106.2367},
year = {2015}
}
备注
25 pages with 12 figures; New Figures 9-12 based on two billion timesteps rather than the two hundred million used in Version 1; Electronic publication in Communications in Nonlinear Science and Numerical Computation scheduled for 1 July 2011