Closed poly-trajectories and Poincaré index of non-smooth vector fields on the plane
Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
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Data(s) |
27/05/2014
27/05/2014
01/04/2013
|
Resumo |
This paper is concerned with closed orbits of non-smooth vector fields on the plane. For a class of non-smooth vector fields we provide necessary and sufficient conditions for the existence of closed poly-trajectorie. By means of a regularization process we prove that hyperbolic closed poly-trajectories are limit sets of a sequence of limit cycles of smooth vector fields. In our approach the Poincaré Index for non-smooth vector fields is introduced. © 2013 Springer Science+Business Media New York. |
Formato |
173-193 |
Identificador |
http://dx.doi.org/10.1007/s10883-013-9169-4 Journal of Dynamical and Control Systems, v. 19, n. 2, p. 173-193, 2013. 1079-2724 1573-8698 http://hdl.handle.net/11449/74906 10.1007/s10883-013-9169-4 WOS:000317862500002 2-s2.0-84880701318 |
Idioma(s) |
eng |
Relação |
Journal of Dynamical and Control Systems |
Direitos |
closedAccess |
Palavras-Chave | #closed poly-trajectory #heteroclinic orbits #Limit cycles #non-smooth vector fields #Poincaré index #singular perturbation #vector fields #Heteroclinic orbit #Limit cycle #Non-smooth vector fields #Poincare #Singular perturbations #Vector fields #Trajectories #Vectors |
Tipo |
info:eu-repo/semantics/article |