We consider Poisson maps between the Clebsch model and Schottky system, two Steklov systems, Kowalevski top, and Neumann system. We prove that these noncanonical transformations of variables are twisted Poisson maps, which completely define the corresponding pairs of integrable systems. Bibliography: 14 titles.

Original languageEnglish
Pages (from-to)3641-3647
Number of pages7
JournalJournal of Mathematical Sciences
Volume136
Issue number1
DOIs
StatePublished - 1 Jul 2006

    Scopus subject areas

  • Mathematics(all)

ID: 5010873