Sd. Furta, ON NONINTEGRABILITY OF GENERAL SYSTEMS OF DIFFERENTIAL-EQUATIONS, Zeitschrift fur angewandte Mathematik und Physik, 47(1), 1996, pp. 112-131
The article is aimed at finding an algebraic criterion of non-integrab
ility of non-Hamiltonian systems of differential equations. The main i
dea is to use the so-called Kowalevsky exponents to reveal whether the
system under consideration is integrable or not. The method used in t
his article is based on previous works by H. Yoshida. The article sugg
ests improving the above technique in such a way that it can be applie
d to a wider class of differential equations.