Nonintegrability and fluctuation by symmetry violation in perturbed harmonic oscillator systems
Statistical Mechanics
2007-05-23 v1
Abstract
The violation of symmetry between the time series of elongation and contraction rates of phase-space point spacings is studied to examine the chaos in perturbed harmonic oscillator systems. A transition from integrability to nonintegrability is quantitatively evaluated by introducing a correlation coefficient for the degree of symmetry violation. A feature of the correlation coefficient is discussed, suggesting a possible advantage over the Lyapunov exponent. The relationship between a fluctuation property based on symmetry violation and nonintegrability is also discussed.
Keywords
Cite
@article{arxiv.cond-mat/0702297,
title = {Nonintegrability and fluctuation by symmetry violation in perturbed harmonic oscillator systems},
author = {Shigeyasu Fujiwara},
journal= {arXiv preprint arXiv:cond-mat/0702297},
year = {2007}
}
Comments
13 pages, 40 figures