Home > Articles > Published articles > On the Limit Cycles of a Class of Discontinuous Piecewise Differential Systems Formed by Two Rigid Centers Governed by Odd Degree Polynomials |
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 |
Rights: | Tots els drets reservats. |
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 |
Preprint 12 p, 669.3 KB |