Analytic integrability of certain resonant saddle

Colin Christopher and Jaume Giné

Chaos, Solitons & Fractals, 2021, vol. 146, issue C

Abstract: We provide sufficient conditions of analytic integrability for a family of planar differential system with a p:−q resonant saddle at the origin. The conditions are then shown to be necessary in several finite dimensional families where the calculations can be performed explicitly. It is conjectured that the conditions are in fact complete for all families.

Keywords: Blow-up; Resonant saddle; Saddle constants; Formal first integral (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:146:y:2021:i:c:s0960077921001739

DOI: 10.1016/j.chaos.2021.110821

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