Kovalevskaya Exponents and Poisson Structures

2005/03/29 by A. V. Borisov, S. L. Dudoladov · 1 citation
Physics and Astronomy · #nlin.SI

paper · pdf

published as Regular and Chaotic Dynamics, 1999 Volume 4 Number 3 · 10 pages

arxiv created 2005/03/29 · arxiv updated 2009/12/01

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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• Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlevé Property

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