Vanishing set of inverse Jacobi multipliers and attractor/repeller sets
García, Isaac (Universitat de Lleida. Departament de Matemàtica)
Giné, Jaume (Universitat de Lleida. Departament de Matemàtica)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Maza, Susanna (Universitat de Lleida. Departament de Matemàtica)

Date:	2021
Abstract:	In this paper, we study conditions under which the zero-set of the inverse Jacobi multiplier of a smooth vector field contains its attractor/repeller compact sets. The work generalizes previous results focusing on sink singularities, orbitally asymptotic limit cycles, and monodromic attractor graphics. Taking different flows on the torus and the sphere as canonical examples of attractor/repeller sets with different topologies, several examples are constructed illustrating the results presented.
Grants:	Ministerio de Ciencia e Innovación MTM2017-84383-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1276 Ministerio de Ciencia e Innovación MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Attractor set ; Repulsor set ; Jacobi multiplier ; Vector fields ; Flows ; Ordinary differential equations
Published in:	Chaos, Vol. 31, Issue 1 (January 2021) , art. 13113, ISSN 1089-7682

DOI: 10.1063/5.0020360
PMID: 33754744

Postprint 19 p, 1.5 MB

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