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

Jaume Giné and Jaume Llibre

Chaos, Solitons & Fractals, 2017, vol. 96, issue C, 130-131

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.

Keywords: Center problem; Analytic integrability; Polynomial complex differential systems (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:96:y:2017:i:c:p:130-131

DOI: 10.1016/j.chaos.2017.01.014

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