Integrability conditions of a resonant saddle perturbed with homogeneous quintic nonlinearities
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2015Suggested citation
Giné, Jaume;
Valls, Claudia;
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(2015)
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Integrability conditions of a resonant saddle perturbed with homogeneous quintic nonlinearities.
Nonlinear Dynamics, 2015, vol. 81, núm. 4, p. 2021-2030.
https://doi.org/10.1007/s11071-015-2122-1.
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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.