On the limit cycle of a Belousov-Zhabotinsky differential systems
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Oliveira, Regilene (Universidade de São Paulo. Instituto de Ciências Matemáticas e de Computação)

Date:	2022
Abstract:	In Leonov and Kuznetsov (2013), the authors shown numerically the existence of a limit cycle surrounding the unstable node that system (1) has in the positive quadrant for specific values of the parameters. System (1) is one of the Belousov-Zhabotinsky dynamical models. The objective of this paper is to prove that system (1), when in the positive quadrant Q has an unstable node or focus, has at least one limit cycle, and when (Formula presented. ), (Formula presented. ), and ϵ > 0 sufficiently small this limit cycle is unique.
Grants:	Agencia Estatal de Investigación PID2019-104658GB-I00 Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911
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Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Limit cycles ; Planar differential systems ; Poincaré compactification ; Slow-fast systems
Published in:	Mathematical methods in the applied sciences, Vol. 45, Issue 2 (January 2022) , p. 579-584, ISSN 1099-1476

DOI: 10.1002/mma.7798

Postprint 6 p, 264.2 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
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