Limit cycles on piecewise smooth vector fields with coupled rigid centers
Carvalho, Tiago (Universidade de São Paulo. Departamento de Computação e Matemática)
Gonçalves, Luiz Fernando (Universidade Federal de Goiás. Instituto de Matemática e Estatística)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2021
Abstract:	We provide an upper bound for the maximum number of limit cycles of the class of discontinuous piecewise differential systems formed by two differential systems separated by a straight line presenting rigid centers. These two rigid centers are polynomial differential systems with a linear part and a nonlinear homogeneous part. We study the maximum number of limit cycles that such a class of piecewise differential systems can exhibit.
Grants:	Agencia Estatal de Investigación MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911
Rights:	Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Piecewise smooth vector field ; Rigid centers ; Limit cycle
Published in:	International journal of bifurcation and chaos in applied sciences and engineering, Vol. 31, Issue 15 (December 2021) , art. 2150224, ISSN 1793-6551

DOI: 10.1142/S0218127421502242

Postprint 21 p, 949.4 KB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles