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Article

Обобщенные модели Калоджеро и Тоды

Черняков Ю. Б., Харчев С. М., Левин А.М., Ольшанецкий М. А., Зотов А. В.

A Calogero–Sutherland system with two types of interacting spin variables has been described using the Hitchin approach and quasicompact structure. Complete integrability has been established by means of the Lax equation specified on a singular curve and the classical r-matrix depending on the spectral parameter. Generalized Toda systems have also been considered. Their phase portraits have been described.