S. V. Kovalevskaya system, its generalization and discretization

Matteo Petrera, Yuri B. Suris

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


We consider an integrable three-dimensional system of ordinary differential equations introduced by S. V. Kovalevskaya in a letter to G. Mittag-Leffler. We prove its isomorphism with the three-dimensional Euler top, and propose two integrable discretizations for it. Then we present an integrable generalization of the Kovalevskaya system, and study the problem of integrable discretization for this generalized system.

Original languageEnglish
Pages (from-to)1047-1065
Number of pages19
JournalFrontiers of Mathematics in China
Issue number5
StatePublished - Oct 2013
Externally publishedYes


  • Birational map
  • algebraically integrable system
  • integrable map


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