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| Pàgina inicial > Articles > Articles publicats > A simple solution to the Braga-Mello conjecture |
(Universitat Autònoma de Barcelona. Departament de Matemàtiques) (Escuela Técnica Superior de Ingeniería (Sevilla). Departamento de Matemática Aplicada II)| Data: | 2015 |
| Resum: | Recently Braga and Mello conjectured that for a given n N there is a piecewise linear system with two zones in the plane with exactly n limit cycles. In this paper, we prove a result from which the conjecture is an immediate consequence. Several explicit examples are given where location and stability of limit cycles are provided. |
| Ajuts: | Ministerio de Economía y Competitividad MTM2012-31821 |
| Nota: | Agraïments: The first author is partially supported by a FAPESP grant 2013/16492-0 and by a CAPES CSF-PVE grant 88881.030454/2013-01. Consejería de Economía, Innovación, Ciencia y Empleo de la Junta de Andalucía under grant P12-FQM-1658. |
| Drets: | Tots els drets reservats.  |
| Llengua: | Anglès |
| Document: | Article ; recerca ; Versió acceptada per publicar |
| Matèria: | Discontinuous piecewise linear differential system ; Limit cycles ; Nonsmooth differential system |
| Publicat a: | International journal of bifurcation and chaos in applied sciences and engineering, Vol. 25 Núm. 1 (2015) , p. 1550009, ISSN 1793-6551 |
10 p, 460.2 KB |
