S. V. Kovalevskaya system, its generalization and discretization

作     者：Matteo PETRERA Yuri B. SURIS 

作者机构：Institut fiir Mathematik MA 7-2 Technische Universitat Berlin Str. des 17. Juni 13610623 Berlin Germany 

出 版 物：《Frontiers of Mathematics in China》 (中国高等学校学术文摘·数学（英文）)

年 卷 期：2013年第8卷第5期

页      面：1047-1065页

核心收录：

学科分类：081901[工学-采矿工程] 0819[工学-矿业工程] 07[理学] 08[工学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by DFG(Deutsche Forschungsgemeinschaft) in the frame of Sonderforschungsbereich/Transregio 109"Discretization in Geometry and Dynamics" 

主　　题：Birational map integrable map algebraically integrable system 

摘      要：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.