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Pàgina inicial > Articles > Articles publicats > Cubic homogeneous polynomial centers |
Data: | 2014 |
Resum: | First, doing a combination of analytical and algebraic computations, we determine by first time an explicit normal form depending only on three parameters for all cubic homogeneous polynomial differential systems having a center. After using the averaging method of first order we show that we can obtain at most 1 limit cycle bifurcating from the periodic orbits of the mentioned centers when they are perturbed inside the class of all cubic polynomial differential systems. Moreover, there are examples with 1 limit cycles. |
Ajuts: | Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 European Commission 316338 |
Nota: | Agraïments: The first author is partially supported by NSFC-11271027 and NSFC- 11171267. |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Averaging theory ; Cubic homogeneous polynomial centers ; Limit cycles |
Publicat a: | Publicacions matemàtiques, Vol. Extra (2014) , p. 297-308, ISSN 2014-4350 |
Postprint 10 p, 660.0 KB |
12 p, 328.2 KB |