visitant ::
identificació
|
|||||||||||||||
Cerca | Lliura | Ajuda | Servei de Biblioteques | Sobre el DDD | Català English Español |
Pàgina inicial > Articles > Articles publicats > On the limit cycles of polynomial vector field |
Data: | 2011 |
Resum: | In this paper we study the limit cycles which can bifurcate from the periodic orbits of the center located at the origin of the quadratic polynomial differential system x˙ = −y(1+x), y˙ = x(1+x), and of the cubic polynomial differential system x˙ = −y(1−x2 −y 2 ), y˙ = x(1 − x2 − y 2 ), when we perturb them in the class of all polynomial vector fields with quadratic and cubic homogenous nonlinearities, respectively. For doing this study we use the averaging theory. |
Ajuts: | Ministerio de Educación y Ciencia MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2005-SGR-550 |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Limit cycle ; Periodic orbit ; Center ; Reversible center ; Averaging method |
Publicat a: | Dynamics of Continuous, Discrete and Impulsive Systems. Series A. Mathematical Analysis, Vol. 18, Num. 2 (2011) , p. 203-214, ISSN 1201-3390 |
Postprint 12 p, 310.2 KB |