Limit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Sánchez, Angela C. T. (University Federal of Goiás. Institute of Mathematics and Statistics)
Tonon, Durval José (University Federal of Goiás. Institute of Mathematics and Statistics)

Date:	2025
Abstract:	In this work we study the maximum number of limit cycles in some classes of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line. These rigid systems are formed by a linear center plus a homogeneous polynomial of degree 2, 3, 4, 5, 6. For these classes of piecewise differential systems we solve the extended 16th Hilbert problem.
Grants:	Agencia Estatal de Investigación PID2022-136613NB-100 Agència de Gestió d'Ajuts Universitaris i de Recerca 2021/SGR-00113
Note:	Altres ajuts: acords transformatius de la UAB
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Limit cycles ; Discontinuous piece wise differential systems ; Rigid systems
Published in:	Nonlinear differential equations and applications, Vol. 32, Issue 3 (May 2025) , art. 48, ISSN 1420-9004

DOI: 10.1007/s00030-025-01050-w

21 p, 486.2 KB

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Articles > Research articles
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