Nonintegrability and fluctuation by symmetry violation in perturbed harmonic oscillator systems

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dc.creatorFujiwara, Shigeyasu
dc.date2007-02-13
dc.date.accessioned2026-07-07T07:46:31Z
dc.date.available2026-07-07T07:46:31Z
dc.descriptionThe 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.
dc.description13 pages, 40 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0702297
dc.identifierhttp://arxiv.org/abs/cond-mat/0702297
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123854
dc.subjectStatistical Mechanics
dc.titleNonintegrability and fluctuation by symmetry violation in perturbed harmonic oscillator systems
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