Nonhyperbolic periodic orbits of vector fields in the plane revisited (Q2015226)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Nonhyperbolic periodic orbits of vector fields in the plane revisited |
scientific article; zbMATH DE number 6306533
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonhyperbolic periodic orbits of vector fields in the plane revisited |
scientific article; zbMATH DE number 6306533 |
Statements
Nonhyperbolic periodic orbits of vector fields in the plane revisited (English)
0 references
23 June 2014
0 references
Summary: 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.
0 references
approximation of periodic orbit
0 references
