Limit Cycles of Continuous Piecewise Smooth Differential Systems
Casimiro, Joyce A. (Universidade Estadual de Campinas. Departamento de Matemática)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Data:	2023
Resum:	From the beginning of this century many articles have been published on the continuous and discontinuous piecewise differential systems specially in the plane. The big interest on these piecewise differential systems mainly comes from their increasing number of applications for modelling many natural phenomena. As it is usual in the planar differential systems one of the main difficulties for understanding their dynamics consists in controlling their limit cycles. The major part of papers studying continuous piecewise differential systems has an straight line as the line of separation between the differential systems forming the continuous piecewise differential systems. In this work we consider continuous piecewise differential systems separated by a circle and formed by one linear differential center and one quadratic differential center. We study the maximum number of limit cycles that such kind of continuos piecewise differential system can exhibit.
Ajuts:	Agencia Estatal de Investigación PID2019-104658GB-I00 European Commission 777911
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Llengua:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Matèria:	Continuous piecewise differential systems ; Linear center ; Quadratic center ; Limit cycle
Publicat a:	Results in Mathematics, Vol. 78, Issue 5 (October 2023) , art. 173, ISSN 1420-9012

DOI: 10.1007/s00025-023-01948-w

Postprint 12 p, 1.0 MB

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