Abstract
In this work we complete the integrability conditions (i.e., conditions for the existence of a local analytic first integral) for a family of a resonant saddle perturbed with homogeneous quintic nonlinearities studied in a previous work. In order to obtain the necessary conditions we use modular arithmetic computations.
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The first author is partially supported by a MINECO/ FEDER Grant Number MTM2014-53703-P and 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: Project UID/MAT/04459/2013 (CAMGSD).
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Giné, J., Valls, C. Integrability conditions of a resonant saddle perturbed with homogeneous quintic nonlinearities. Nonlinear Dyn 81, 2021–2030 (2015). https://doi.org/10.1007/s11071-015-2122-1
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DOI: https://doi.org/10.1007/s11071-015-2122-1