For a given polynomial differential system we provide different necessary conditions for the existence of Darboux polynomials using the balances of the system and the Painlevé property. As far as… Click to show full abstract
For a given polynomial differential system we provide different necessary conditions for the existence of Darboux polynomials using the balances of the system and the Painlevé property. As far as we know, these are the first results which relate the Darboux theory of integrability, first, to the Painlevé property and, second, to the Kovalevskaya exponents. The relation of these last two notions to the general integrability has been intensively studied over these last years.
Keywords:
balances painlev;
painlev property;
property;
polynomials balances;
darboux polynomials
Journal Title: Regular and Chaotic Dynamics
Year Published: 2017
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Journal Title: Regular and Chaotic Dynamics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!