Proof of Llibre–Valls’s conjecture for the Brusselator system

Xiangqin Yu

Chaos, Solitons & Fractals, 2024, vol. 185, issue C

Abstract: The aim of this paper is to prove Llibre–Valls’s conjecture for the Brusselator system. By transforming the Brusselator system into Liénard equation and applying the limit cycle theory of Liénard equation, we give a positive answer to this conjecture. Numerical simulations are also given to illustrate our theoretical results.

Keywords: Brusselator system; Liénard equation; Limit cycle (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:185:y:2024:i:c:s096007792400660x

DOI: 10.1016/j.chaos.2024.115108

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