Periodic solutions of continuous third-order differential equations with piecewise polynomial nonlinearities
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Lopes, Bruno Domiciano (Universidade Federal do ABC. Centro de Matemática, Computação e Cognição (Brazil))
De Moraes, Jaime Rezende (Universidade Estadual de Mato Grosso do Sul. (Brazil))

Date:	2020
Abstract:	We consider third-order autonomous continuous piecewise differential equations in the variable x. For such differential equations with nonlinearities of the form xm, we investigate their periodic solutions using the averaging theory. We remark that since the differential system is only continuous we cannot apply to it the classical averaging theory, that needs that the differential system be at least of class C2.
Grants:	Ministerio de Economía y Competitividad MTM2013-40998-P Ministerio de Economía y Competitividad MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2013/SGR-568
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Third-order differential equations ; Piecewise differential equations ; Periodic orbit ; Averaging theory
Published in:	International journal of bifurcation and chaos in applied sciences and engineering, Vol. 30, Issue 11 (September 2020) , art. 2050158, ISSN 1793-6551

DOI: 10.1142/S0218127420501588

Postprint 9 p, 305.0 KB

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