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Integrability via algebraic changes of variables

Jaume Giné and Xavier Santallusia

Chaos, Solitons & Fractals, 2024, vol. 184, issue C

Abstract: The integrability problem consists in finding an explicit the class of functions that a first integral of a given planar polynomial differential system must belong to. In this paper we propose a method to find integrability via algebraic changes of variables in order to transform the planar polynomial differential into a simple system or equation to determine a first integral of it.

Keywords: Nonlinear differential equations; Integrability problem (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:184:y:2024:i:c:s0960077924005782

DOI: 10.1016/j.chaos.2024.115026

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