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
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077924005782
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:184:y:2024:i:c:s0960077924005782

DOI: 10.1016/j.chaos.2024.115026

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().