Classical planar algebraic curves realizable by quadratic polynomial differential systems

Author

García, I. A. (Isaac A.)

Llibre, Jaume

Publication date

2017-06-23T12:59:19Z

2017-11-15

2017-06-23T12:59:20Z



Abstract

In this paper we show planar quadratic polynomial differentialsystems exhibiting as solutions some famous planar invariant algebraic curves. Also we put particular attention to the Darboux integrability of these differential systems.


The author is partially supported by a MINECO grant number MTM2014-53703-P and an AGAUR grant number 2014SGR1204. †The author is partially supported by a FEDER-MINECO grant MTM2016-77278-P, a MINECO grant MTM2013-40998-P, and an AGAUR grant number 2014SGR-568

Document Type

Article
acceptedVersion

Language

English

Subjects and keywords

Matemáticas; Quadratic differential system; Invariant algebraic curve; Darboux integrability; Anàlisi matemàtica; Mathematical analysis

Publisher

World Scientific Publishing

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info:eu-repo/grantAgreement/MINECO//MTM2013-40998-P/ES/ALGUNOS ASPECTOS DE LA DINAMICA GLOBAL DE LOS SISTEMAS DIFERENCIALES: INTEGRABILIDAD, SOLUCIONES PERIODICAS Y BIFURCACIONES/

Versió postprint del document publicat a https://doi.org/10.1142/S0218127417501413

International Journal of Bifurcation and Chaos, 2017, vol. 27, núm. 09, p. 1-12

Rights

(c) World Scientific Publishing, 2017

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