Kovalevskaya Exponents and Poisson Structures

Details Kovalevskaya Exponents and Poisson Structures Kovalevskaya Exponents and Poisson Structures

2005-03-29

arxiv.org/abs/nlin/0503061v1

Regular and Chaotic Dynamics, 1999 Volume 4 Number 3

Nonlinear Sciences

Exactly Solvable and Integrable Systems

10 pages

Scientific paper

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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