On the Limit Cycles of a Class of Discontinuous Piecewise Differential Systems Formed by Two Rigid Centers Governed by Odd Degree Polynomials
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:	2022
Abstract:	We provide an upper bound for the maximum number of limit cycles for the class of discontinuous piecewise differential systems formed by two differential systems separated by the straight line x = 0, one of which is a linear rigid center while the other is a rigid center formed of a linear part plus a homogeneous polynomial of odd degree. We solve the extended 16th Hilbert problem for this class of discontinuous piecewise differential systems.
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 sotmesa a revisió
Subject:	Piecewise smooth vector fields ; Rigid centers ; Limit cycles
Published in:	International journal of bifurcation and chaos in applied sciences and engineering, Vol. 32, Issue 16 (December 2022) , art. 2250245, ISSN 1793-6551

DOI: 10.1142/S0218127422502455

Preprint 12 p, 669.3 KB

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