Limit cycles of piecewise differential equations on the cylinder
Bakhshalizadeh, Ali (Isfahan University of Technology. Department of Mathematical Sciences (Iran))
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2021
Abstract:	We consider the discontinuous piecewise differential equations of the form [Formula presented] where a0(t),a1(t),. . . ,an(t) and b0(t),b1(t),. . . ,bm(t) are 2π-periodic functions in the variable t, and we study the number of limit cycles of such equations on the cylinder. In this way we give exact bounds for the maximum number of limit cycles that the piecewise differential equations have in function of n and m. Note that usually the discontinuous piecewise differential systems are discontinuous in the dependent variable, here the system is discontinuous in the independent variable.
Grants:	Ministerio de Ciencia e Innovación MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Limit cycles ; Piecewise smooth system ; Hilbert number ; Differential equations on the cylinder
Published in:	Bulletin des Sciences Mathematiques, Vol. 170 (September 2021) , art. 103013, ISSN 0007-4497

DOI: 10.1016/j.bulsci.2021.103013

Postprint 9 p, 656.2 KB

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