Integrability of resonant saddles in a complex differential system

Feng Li, Hongwei Li and Yuanyuan Liu

Chaos, Solitons & Fractals, 2020, vol. 140, issue C

Abstract: In this paper, a proof of a conjecture on integrability of a class of complex differential system is given by using the construction theorem of singular point values and the extended symmetric principle. Moreover, when p is a positive integer, some integrable and linearizable conditions of the resonant saddle of the system x′=px,y′=−y+f(y)x are given.

Keywords: Integrability; Singular value; Symmetric principle; Linearizability (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:140:y:2020:i:c:s0960077920306226

DOI: 10.1016/j.chaos.2020.110226

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