title: Geometrical analysis of the LiCN vibrational dynamics: a stability geometrical indicator.
abstract: 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.
authors.affiliation: Grupo de Sistemas Complejos, Universidad Politécnica de Madrid, 28040 Madrid, Spain and Departamento de Física y Mecánica, Escuela Técnica Superior de Ingenieros Agrónomos, Universidad Politécnica de Madrid, 28040 Madrid, Spain.
authors.forename: A
authors.initials: A
authors.lastname: Vergel
authors.affiliation: Grupo de Sistemas Complejos, Universidad Politécnica de Madrid, 28040 Madrid, Spain and Departamento de Física y Mecánica, Escuela Técnica Superior de Ingenieros Agrónomos, Universidad Politécnica de Madrid, 28040 Madrid, Spain.
authors.forename: R M
authors.initials: RM
authors.lastname: Benito
authors.affiliation: Grupo de Sistemas Complejos, Universidad Politécnica de Madrid, 28040 Madrid, Spain and Departamento de Física y Mecánica, Escuela Técnica Superior de Ingenieros Agrónomos, Universidad Politécnica de Madrid, 28040 Madrid, Spain.
authors.forename: J C
authors.initials: JC
authors.lastname: Losada
authors.affiliation: Departamento de Química, Universidad Autónoma de Madrid, Cantoblanco, 28049-Madrid, Spain and Instituto de Ciencias Matemáticas (ICMAT), Cantoblanco, 28049-Madrid, Spain.
authors.forename: F
authors.initials: F
authors.lastname: Borondo