Geometrical analysis of the LiCN vibrational dynamics: a stability geometrical indicator

The vibrational dynamics of the LiNC/LiCN molecular system is examined making use of the Riemannian geometry. Stability and chaoticity are analyzed, in this context, by means of the Jacobi-Levi-Civita equations, derived from the Jacobi metric, and its solutions. A dynamical indicator, called stabili...

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Published inPhysical review. E, Statistical, nonlinear, and soft matter physics Vol. 89; no. 2; p. 022901
Main Authors Vergel, A, Benito, R M, Losada, J C, Borondo, F
Format Journal Article
LanguageEnglish
Published United States 01.02.2014
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Summary:The vibrational dynamics of the LiNC/LiCN molecular system is examined making use of the Riemannian geometry. Stability and chaoticity are analyzed, in this context, by means of the Jacobi-Levi-Civita equations, derived from the Jacobi metric, and its solutions. A dynamical indicator, called stability geometrical indicator, is introduced in order to ascertain the dynamical characteristics of stability and chaos in the molecule under study.
ISSN:1550-2376
DOI:10.1103/PhysRevE.89.022901