Work

Geometrodynamical Analysis to Characterize the Dynamics and Stability of a Molecular System through the Boundary of the Hill’s Region

Year: 2014

Type: article

Abstract: In this paper we study the dynamics and stability of a two-dimensional model for the vibrations of the LiCN molecule making use of the Riemannian geometry via the Jacobi-Levi-Civita equations applied to the Jacobi metric. The Stability Geometrical Indicator for short times is calculated to locate regular and chaotic trajectories as the relative extrema of this indicator. Only trajectories with initial conditions at the boundary of the Hill’s region are considered to characterize the dynamics of the system. The importance of the curvature of this boundary for the stability of trajectories bouncing on it is also discussed.

Source: Applied Mathematics

DOI: 10.4236/am.2014.516251

Authors: Alberto Vergel, Rosa M. Benito, Juan C. Losada, Florentino Borondo

Institutions: Universidad Politécnica de Madrid, Institute of Mathematical Sciences, Universidad Autónoma de Madrid

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Instituto de Ciencias Matemáticas, Ministerio de Economía y Competitividad

Awards: G1399721950, G3487970159, G3825852721, G8407739917