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This article is cited in 1 scientific paper (total in 1 paper)
Darboux Polynomials, Balances and Painlevé Property
Jaume Llibrea, Clàudia Vallsb a Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain
b Departamento de Matemática, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais 1049–001, Lisboa, Portugal
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:
Painlevé property, Darboux polynomial, Kovalevskaya exponents.
Received: 25.05.2017 Accepted: 26.07.2017
Citation:
Jaume Llibre, Clàudia Valls, “Darboux Polynomials, Balances and Painlevé Property”, Regul. Chaotic Dyn., 22:5 (2017), 543–550
Linking options:
https://www.mathnet.ru/eng/rcd274 https://www.mathnet.ru/eng/rcd/v22/i5/p543
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Abstract page: | 159 | References: | 28 |
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