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Pàgina inicial > Articles > Articles publicats > The limit cycles of discontinuous piecewise linear differential systems formed by centers and separated by irreducible cubic curves II |
Data: | 2024 |
Resum: | In this paper we provide a lower bound for the maximum number of crossing limit cycles of some class of planar discontinuous piecewise linear differential systems formed by centers and separated by an irreducible algebraic cubic curve. First we prove that the systems constituted by three zones can exhibit 0, 1, 2, 3 or 4 crossing limit cycles having four intersection points with the cubic of separation. Second we prove that the systems constituted by two zones can exhibit 0, 1, or 2 crossing limit cycles having four intersection points with the cubic of separation. |
Ajuts: | Ministerio de Ciencia e Innovación MTM2016-77278-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617 European Commission 777911 |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Limit cycles ; Discontinuous piecewise linear differential systems ; Linear differential centers ; Irreducible cubic curves |
Publicat a: | Differential Equations and Dynamical Systems, Vol. 32 (January 2024) , p. 115-149, ISSN 0974-6870 |
Postprint 25 p, 1.2 MB |