Symmetries of Nonlinear Vibrations in Tetrahedral Molecular\n Configurations

2017/07/24 by Irina Berezovik, Berezovik, Irina, Carlos García-Azpeitia +3
Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Mechanical and Optical Resonators #Nonlinear Photonic Systems #Quantum Mechanics and Non-Hermitian Physics

paper · pdf · doi:10.48550/arxiv.1707.07653

openalex publication_date 2017/07/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study nonlinear vibrational modes of oscillations for tetrahedral\nconfigurations of particles. In the case of tetraphosphorus, the interaction of\natoms is given by bond stretching and van der Waals forces. Using equivariant\ngradient degree, we present a full topological classification of the\nspatio-temporal symmetries of the periodic solutions. This procedure gives all\nthe symmetries of the nonlinear vibrations for general force fields.\n

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