Symmetries of nonlinear vibrations in tetrahedral molecular configurations

DOI10.3934/DCDSB.2018261zbMath1458.37058arXiv1707.07653OpenAlexW2962707723WikidataQ129027264 ScholiaQ129027264MaRDI QIDQ2316409

Wiesław Krawcewicz, Irina Berezovik, Carlos García-Azpeitia

Publication date: 26 July 2019

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.07653

zbMATH Keywords

tetrahedral symmetryequivariant degree methodnewtonian systemnonlinear vibrational modesperiodic vibrationssymmetric molecular configurations

Mathematics Subject Classification ID

Dynamical systems in solid mechanics (37N15) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

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