Centers on center manifolds in a quadratic system obtained froma scalar third-order differential equation

We give affirmative answers to two questions concerning the existence of centers on local center manifolds at equilibria of a quadratic system in the three dimensional space. These questions were posed by Dias and Mello [1] when studying a scalar third-order differential equation.

Bibliographic Details
Main Authors: Warley Ferreira da Cunha, Fabio Scalco Dias, Luis Fernando Mello
Format: Article
Language:English
Published: Texas State University 2011-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2011/136/abstr.html