Energy exchange and transition to localization in the asymmetric Fermi-Pasta-Ulam oscilliatory chain

A finite (periodic) FPU chain is chosen as a convenient point for investigating the energy exchange phenomenon in nonlinear oscillatory systems. As we have recently shown, this phenomenon may occur as a consequence of the resonant interaction between high-frequency nonlinear normal modes. This interaction determines both the complete energy exchange between different parts of the chain and the transition to energy localization in an excited group of particles. In the paper, we demonstrate that this mechanism can exist in realistic (asymmetric) models of atomic or molecular oscillatory chains. Also, we study the resonant interaction of conjugated nonlinear normal modes and prove a possibility of linearization of the equations of motion. The theoretical constructions developed in this paper are based on the concepts of "effective particles" and Limiting Phase Trajectories. In particular, an analytical description of energy exchange between the "effective particles" in the terms of non-smooth functions is presented. The analytical results are confirmed with numerical simulations.Comment: 15 pages, 8 figure

Features of Content Planning on the Example of Publishing House “Rosman”

Благодарности: научному руководителю, кандидату филологических наук О. В. Климовой, доценту кафедры издательского дела Уральского гуманитарного института УрФУ; сотрудникам отдела маркетинга издательства «Росмэн» за возможность быть частью команды и полученный опыт.Acknowledgments: to the scientific supervisor of the Candidate of Philology, O. V. Klimova, associate professor of the Publishing Department of the Ural Humanitarian Institute of UrFU; to the employees of the marketing department of the Rosman publishing house for the opportunity to be part of the team and the experience gained.В настоящее время в целях оптимизации продвижения книжной продукции издательства используют контент-план. В тезисах представлена механика работы с организацией и ведением контента на примере издательства «Росмэн».Currently, publishing houses use a content plan to optimize the promotion of book products. The theses present the mechanics of working with the organization and maintenance of content on the example of the Rosman publishing house

Energy localization in carbon nanotubes

In this paper, the energy localization phenomena in low-frequency nonlinear oscillations of single-walled carbon nanotubes (SWNTs) are analysed. The SWNTs dynamics is studied in the framework of the Sanders-Koiter shell theory. Simply supported and free boundary conditions are considered. The effect of the aspect ratio on the analytical and numerical values of the localization threshold is investigated in nonlinear field