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Pàgina inicial > Articles > Articles publicats > Limit cycles of continuous and discontinuous piecewise-linear differential systems in R³ |
Data: | 2018 |
Resum: | We study the limit cycles of two families of piecewise-linear differential systems in R³ with two pieces separated by a plane Ʃ. In one family the differential systems are only continuous on the plane Ʃ, and in the other family they are only discontinuous on the plane Ʃ. The usual tool for studying these limit cycles is the Poincaré map, but here we shall use recent results which extend the averaging theory to continuous and discontinuous differential systems. All the computations have been checked with the algebraic manipulator mathematica. |
Ajuts: | Ministerio de Economía y Competitividad MTM2016-77278-P Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Limit cycles ; Non-smooth differential systems ; Piecewise linear differential systems |
Publicat a: | Journal of computational and applied mathematics, Vol. 338 (Aug. 2018) , p. 311-323, ISSN 0377-0427 |
Postprint 18 p, 507.4 KB |