Integrability conditions of a resonant saddle in generalized Liénard-like complex polynomial differential systems
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2017Suggested citation
Giné, Jaume;
Llibre, Jaume;
.
(2017)
.
Integrability conditions of a resonant saddle in generalized Liénard-like complex polynomial differential systems.
Chaos Solitons & Fractals, 2017, vol. 96, p. 130-131.
https://doi.org/10.1016/j.chaos.2017.01.014.
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Abstract
We consider a complex differential system with a resonant saddle at the origin. We compute the resonant saddle quantities and using Gröbner bases we find the integrability conditions for such systems up to a certain degree. We also establish a conjecture about the integrability conditions for such systems when they have arbitrary degree.