S. V. Kovalevskaya system, its generalization and discretization
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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.
KeywordsBirational map integrable map algebraically integrable system
MSC37J35 70H06 14H70 37K20
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