Analytic integrability of cubic-linear planar polynomial differential systems

Giné, Jaume; Valls, Claudia

doi:https://doi.org/10.1016/j.jde.2015.09.040

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Issue date

2016

Author

Giné, Jaume

Valls, Claudia

Suggested citation

Giné, Jaume; Valls, Claudia; . (2016) . Analytic integrability of cubic-linear planar polynomial differential systems. Journal of Differential Equations, 2016, vol. 260, núm. 2, p. 1690-1716. https://doi.org/10.1016/j.jde.2015.09.040.

Abstract

For the cubic–linear polynomial planar differential systems with a finite singular point, we classify the ones which have a local analytic first integral around the origin and the ones that have a global analytic first integral.

URI

http://hdl.handle.net/10459.1/57071

DOI

https://doi.org/10.1016/j.jde.2015.09.040

Is part of

Journal of Differential Equations, 2016, vol. 260, núm. 2, p. 1690-1716

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