Continuous-discontinuous piecewise differential systems with two pieces separated by a non-regular line
Li, Jie (Southwest Petroleum University. School of Sciences)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2025
Abstract:	During the first years of this century, many papers have been published on the piecewise differential systems. The interest in these systems is mainly due to their increasing number of applications for modeling many natural phenomena. One of the main difficulties in understanding the dynamics of these systems consists in controlling their limit cycles. So there are many papers studying the limit cycles of continuous and discontinuous piecewise differential systems, but as far as we know this is the first paper studying the limit cycles of a class of piecewise differential systems such that in a part of the line of separation between the two differential systems forming the piecewise differential system is continuous. In the other part, it is discontinuous.
Grants:	Agencia Estatal de Investigación PID2022-136613NB-I00 Agència de Gestió d'Ajuts Universitaris i de Recerca 2021/SGR-00113
Note:	Altres ajuts: Reial Acadèmia de Ciències i Arts de Barcelona
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Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Continuous-discontinuous differential system ; Limit cycle ; Polynomial Hamiltonian systems
Published in:	Discrete and continuous dynamical systems. Series B, Vol. 30, Issue 9 (September 2025) , p. 3277-3287, ISSN 1553-524X

DOI: 10.3934/dcdsb.2025022

Postprint 12 p, 451.5 KB

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