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Kovalevskaya Exponents and Poisson Structures

A. V. Borisov·S. L. Dudoladov
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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.

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A. V. Borisov, S. L. Dudoladov. 2005-03-29. Kovalevskaya Exponents and Poisson Structures. https://arxiv.org/abs/nlin/0503061

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