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Frontiers of Mathematics in China

, Volume 8, Issue 5, pp 1047–1065 | Cite as

S. V. Kovalevskaya system, its generalization and discretization

  • Matteo Petrera
  • Yuri B. Suris
Research Article

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.

Keywords

Birational map integrable map algebraically integrable system 

MSC

37J35 70H06 14H70 37K20 

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Copyright information

© Higher Education Press and Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Institut für Mathematik, MA 7-2Technische Universität BerlinBerlinGermany

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