Nonhyperbolic Periodic Orbits of Vector Fields in the Plane Revisited
Joint Authors
Braga, Denis de Carvalho
Zambroni de Souza, Antonio Carlos
Mello, Luis Fernando
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-27
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
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 equations that has a transversal Hopf point of codimension two.
Applications of the developed theory are made in Liénard-type equations and in Bazykin’s predator-prey system.
American Psychological Association (APA)
Braga, Denis de Carvalho& Mello, Luis Fernando& Zambroni de Souza, Antonio Carlos. 2013. Nonhyperbolic Periodic Orbits of Vector Fields in the Plane Revisited. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-19.
https://search.emarefa.net/detail/BIM-454911
Modern Language Association (MLA)
Braga, Denis de Carvalho…[et al.]. Nonhyperbolic Periodic Orbits of Vector Fields in the Plane Revisited. Abstract and Applied Analysis No. 2013 (2013), pp.1-19.
https://search.emarefa.net/detail/BIM-454911
American Medical Association (AMA)
Braga, Denis de Carvalho& Mello, Luis Fernando& Zambroni de Souza, Antonio Carlos. Nonhyperbolic Periodic Orbits of Vector Fields in the Plane Revisited. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-19.
https://search.emarefa.net/detail/BIM-454911
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454911