Blow-up method to compute necessary conditions of integrability for planar differential systems

Brigita Ferčec and Jaume Giné

Applied Mathematics and Computation, 2019, vol. 358, issue C, 16-24

Abstract: We provide a method to compute the necessary conditions of integrability for planar differential systems with a weak saddle at the origin. The method is used to characterize the local analytic integrability for resonant saddles of complex systems of the form x˙=px, and y˙=−y+f(y)x,0≠p∈N, with f analytic at the origin and with f(0)=0.

Keywords: Blow-up; Resonant saddle; Saddle constants; Formal first integral (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:358:y:2019:i:c:p:16-24

DOI: 10.1016/j.amc.2019.04.007

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