Polynomial first integrals for quasi-homogeneous polynomial differential systems

Name: Work Video:
Duration: 3 min 30 s
Description: In 1996, Furta (Furta S D 1996 Z. Angew Math. Phys. 47112-31) and Goriely (Goriely A 1996 J. Math. Phys. 371871-93) proved, independently, the existence of a link between the Kowalevskaya exponents of quasi-homogeneous polynomial differential systems and the degree of their quasi-homogeneous polynomial first integrals. Here, we provide a new link.
Jaume Llibre; Xiang Zhang
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