Chechin, G. M.Ryabov, D. S.Shcherbinin, S. A.2016-11-242016-11-242016Chechin G. M. Bushes of Nonlinear Normal Modes in Single-Layer Graphene / G. M. Chechin, D. S. Ryabov, S. A. Shcherbinin // Nonlinear Dynamics–2016 (ND-KhPI2016) : proceedings of 5th International Conference, dedicated to the 90th anniversary of Academician V. L. Rvachev, September 27-30, 2016 = Нелінійна динаміка–2016 : тези доп. 5-ї Міжнар. конф., 27-30 вересня 2016 р. – Kharkov : NTU "KhPI", 2016. – P. 65-70.https://repository.kpi.kharkov.ua/handle/KhPI-Press/24883In-plane vibrations in uniformly stretched single-layer graphene (space group P6mm), which are described by the Rosenberg nonlinear normal modes (NNMs) and their bushes, are studied with the aid of group-theoretical methods developed by authors in some earlier papers. It was found that only 4 symmetry-determined NNMs (one-dimensional bushes), as well as 14 two-dimensional bushes are possible in graphene. They are exact solutions to the dynamical equations of this two-dimensional crystal. The verification of group-theoretical results with the aid of ab initio simulations based on density functional theory is discussed.enlattice dynamicsnonlinear normal modesgraphenegroup-theoretical methodsab initio simulationsdensity functional theoryArticle