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Интеллектуальная Система Тематического Исследования НАукометрических данных |
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The case of motion of a generalized two-field gyrostat found by V.V.Sokolov and A.V.Tsiganov is known as a Liouville integrable Hamiltonian system with three degrees of freedom. In the talk, we find a set of points at which the momentum map has rank 1. This set consists of special periodic motions which correspond to the singular points of a bifurcation diagram on an iso-energetic surface. For such motions the phase variables can be expressed in terms of algebraic functions of a single auxiliary variable. These algebraic functions satisfy a differential equation integrable in elliptic functions of time.
№ | Имя | Описание | Имя файла | Размер | Добавлен |
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1. | Полный текст | Тезисы доклада | abstrRyabSuzdal2016p275_p276.pdf | 3,3 МБ | 27 января 2019 [Ryabov] |