Local Gram-Schmidt and covariant Lyapunov vectors and exponents for three harmonic oscillator problems

被引：3
|
作者：
Hoover, Wm. G. [1 ]
Hoover, Carol G. [1 ]
机构：
[1] Ruby Valley Res Inst, Ruby Valley, NV 89833 USA
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 02期
关键词：
Lyapunov instability; Covariant Lyapunov spectrum; Gram-Schmidt orthonormalization; NUMERICAL EXPERIMENTS; CANONICAL DYNAMICS; SINGULAR VECTORS; ATTRACTORS; EQUILIBRIUM; STABILITY; SYSTEMS; SPECTRA; CHAOS;
D O I：
10.1016/j.cnsns.2011.06.025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We compare the Gram-Schmidt and covariant phase-space-basis-vector descriptions for three time-reversible harmonic oscillator problems, in two, three, and four phase-space dimensions respectively. The two-dimensional problem can be solved analytically. The three-dimensional and four-dimensional problems studied here are simultaneously chaotic, time-reversible, and dissipative. Our treatment is intended to be pedagogical, for use in an updated version of our book on Time Reversibility, Computer Simulation, and Chaos. Comments are very welcome. (C) 2011 Elsevier B.V. All rights reserved.
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页码：1043 / 1054
页数：12
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