Nonhyperbolic Periodic Orbits of Vector Fields in the Plane Revisited

The main goal of this paper is to present a theory of approximation of periodic orbits of vector fields in the plane. From the theory developed here, it is possible to obtain an approximation to the curve of nonhyperbolic periodic orbits in the bifurcation diagram of a family of differential equatio...

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Bibliographic Details
Main Authors: Denis de Carvalho Braga, Luis Fernando Mello, Antonio Carlos Zambroni de Souza
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/212340