Three-dimensional Lotka-Volterra systems with 3:−1:2-Resonance
Aziz, Waleed (Tishk International University. Information Technology Department (Iraq))
Christopher, Colin (Plymouth University. School of Engineering, Computing and Mathematics)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Pantazi, Chara (Universitat Politècnica de Catalunya. Departament de Matemàtiques)

Date:	2021
Abstract:	We study the local integrability at the origin of a nine-parameter family of three-dimensional Lotka-Volterra differential systems with (3:− 1:2)-resonance. We give necessary and sufficient conditions on the parameters of the family that guarantee the existence of two independent local first integrals at the origin of coordinates. Additionally, we classify those cases where the origin is linearizable.
Grants:	European Commission 777911 Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 Agencia Estatal de Investigación MTM2016-77278-P Agencia Estatal de Investigación PGC2018-098676-B-I00 Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1049
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Lotka-Volterra ; Integrability ; Linearizability ; Jacobi multiplier
Published in:	Mediterranean Journal of Mathematics, Vol. 18, Issue 4 (August 2021) , art. 167, ISSN 1660-5454

DOI: 10.1007/s00009-021-01809-2

Postprint 24 p, 376.6 KB

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