S. V. Kovalevskaya system, its generalization and discretization

Matteo Petrera, Yuri B. Suris

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

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
Volume8
Issue number5
DOIs
StatePublished - Oct 2013
Externally publishedYes

Keywords

  • Birational map
  • algebraically integrable system
  • integrable map

Fingerprint

Dive into the research topics of 'S. V. Kovalevskaya system, its generalization and discretization'. Together they form a unique fingerprint.

Cite this