We consider a complex differential system with a resonant saddle that remind the classical Liénard systems in the real plane. For such systems we determine the conditions of analytic integrability of the resonant saddle.
The first author is partially supported by a MINECO/FEDER grant number MTM2014-53703-P and by an AGAUR (Generalitat de Catalunya) grant number 2014SGR 1204. The second author is supported by Portuguese national funds through FCT - Fundación para a Ciéncia e a Tecnologia: project PEst-OE/EEI/LA0009/2013 (CAMGSD)
English
Integrable saddles; First integrals; Analytic integrability; Matemàtica; Mathematics
Elsevier
MINECO/PN2013-2016/MTM2014-53703-P
Versió postprint del document publicat a: https://doi.org/10.1016/j.chaos.2015.11.026
Chaos Solitons & Fractals, 2016, vol. 82, p. 139-141
cc-by-nc-nd (c) Elsevier, 2016
https://creativecommons.org/licenses/by-nc-nd/4.0/deed.ca
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