Analyzed is a family of integrable systems on a phase space TstarS2, for which additional integral is a cubic polynomial in respect to Jk variables. The most wide known system of such type is Goryachev-Cheplygin top. The relation between specified integrable systems is given and their reducibility to Goryachev-Cheplygin top is shown.

Язык оригиналаанглийский
Страницы (с-по)457-459
Число страниц3
ЖурналDoklady Akademii Nauk
Том402
Номер выпуска4
СостояниеОпубликовано - 27 окт 2005

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