This article is cited in 13 papers

Kovalevskaya Exponents and Poisson Structures

A. V. Borisov, S. L. Dudoladov

Faculty of Mechanics and Mathematics, Department of Theoretical Mechanics, Moscow State University, Vorobievy gory, Moscow, 119899, Russia

Abstract: We consider generalizations of pairing relations for Kovalevskaya exponents in quasihomogeneous systems with quasihomogeneous tensor invariants. The case of presence of a Poisson structure in the system is investigated in more detail. We give some examples which illustrate general theorems.

MSC: 34G20, 34L40

Received: 30.09.1999

Language: English

DOI: 10.1070/RD1999v004n03ABEH000111

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