2 papers
math.DS2017
Symmetries of Nonlinear Vibrations in Tetrahedral Molecular Configurations
Irina Berezovik, Carlos García-Azpeitia, Wieslaw Krawcewicz
We study nonlinear vibrational modes of oscillations for tetrahedral configurations of particles. In the case of tetraphosphorus, the interaction of atoms is given by bond stretchi…
math.DS2017
Dihedral Molecular Configurations Interacting by Lennard-Jones and Coulomb Forces
Irina Berezovik, Qingwen Hu, Wieslaw Krawcewicz
In this paper, we investigate periodic vibrations of a group of particles with a dihedral configuration in the plane governed by the Lennard-Jones and Coulomb forces. Using the gra…