Abstract
The article is aimed at finding an algebraic criterion of non-integrability of non-Hamiltonian systems of differential equations. The main idea is to use the so-called Kowalevsky exponents to reveal whether the system under consideration is integrable or not. The method used in this article is based on previous works by H. Yoshida. The article suggests improving the above technique in such a way that it can be applied to a wider class of differential equations.
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Furta, S.D. On non-integrability of general systems of differential equations. Z. angew. Math. Phys. 47, 112–131 (1996). https://doi.org/10.1007/BF00917577
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DOI: https://doi.org/10.1007/BF00917577