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Integrability conditions for complex kukles systems

To access the full text documents, please follow this link: http://hdl.handle.net/10459.1/62970

Author

Giné, Jaume

Valls, Claudia

Publication date

2018-04-04T08:22:23Z

2018-04-04T08:22:23Z

2017

2018-04-04T08:22:23Z



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Abstract

In this paper, we provide necessary and sufficient conditions for the existence of local analytic first integrals for a seventh-parameter family of complex cubic systems called the complex Kukles systems.

The first author is partially supported by a MINECO/ FEDER [grant number MTM2014-53703-P]; an AGAUR (Generalitat de Catalunya) [grant number 2014SGR 1204]. The second author is supported by Portuguese National Funds through FCT - Fundação para a Ciência e a Tecnologia within the project PTDC/MAT/117106/2010 and by CAMGSD.

Document Type

Article
Accepted version

Language

English

Subjects and keywords

Integrability; Complex centre-focus problem; Lyapunov constants

Publisher

Taylor & Francis

Related items

info:eu-repo/grantAgreement/MINECO//MTM2014-53703-P/ES/METODOS CUALITATIVOS EN SISTEMAS DIFERENCIALES CONTINUOS/

Versió postprint del document publicat a https://doi.org/10.1080/14689367.2016.1181715

Dynamical Systems-An International Journal, 2017, vol. 32, núm. 2, p. 211-220

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(c) Taylor & Francis, 2017

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Documents de recerca [17848]