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Pàgina inicial > Articles > Articles publicats > Restricted independence in displacement function for better estimation of cyclicity |
Data: | 2017 |
Resum: | Since the independence of focal values is a sufficient condition to give a number of limit cycles arising from a center-focus equilibrium, in this paper we consider a restricted independence to a parametric curve, which gives a method not only to increase the lower bound for the cyclicity of the center-focus equilibrium but also to be available when those focal values are not independent. We apply the method to a nondegenerate cubic center-focus variety and prove that the cyclicity reaches its an upper bound. |
Ajuts: | Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 318999 European Commission 316338 Ministerio de Economía y Competitividad MTM2013-40998-P |
Nota: | Agraïments: The author is partially supported by NSFC grant #11471228 (X. Chen), NSFC grant # 11501083 (Z. Wang), and NSFC grants # 11231001 and # 11221101 (W. Zhang). |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Center-focus variety ; Cyclicity ; Focal value ; Independence ; Power sequence |
Publicat a: | Journal of differential equations, Vol. 262 (2017) , p. 5773-5791, ISSN 1090-2732 |
Postprint 17 p, 792.7 KB |