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.

Original languageEnglish
Pages (from-to)457-459
Number of pages3
JournalDoklady Akademii Nauk
Volume402
Issue number4
StatePublished - 27 Oct 2005

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ID: 35926659