Integrability conditions of a resonant saddle in Liénard-like complex systems

Author

Giné, Jaume

Valls, Claudia

Publication date

2016-11-03T15:51:48Z

2018-02-01T23:25:54Z

2016

2016-11-03T15:51:49Z



Abstract

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)

Document Type

Article
Accepted version

Language

English

Subjects and keywords

Integrable saddles; First integrals; Analytic integrability; Matemàtica; Mathematics

Publisher

Elsevier

Related items

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

Rights

cc-by-nc-nd (c) Elsevier, 2016

https://creativecommons.org/licenses/by-nc-nd/4.0/deed.ca

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