Electron. J. Diff. Equ.,
Vol. 2011 (2011), No. 136, pp. 1-6.
Centers on center manifolds in a quadratic system obtained from
a scalar third-order differential equation
Warley Ferreira da Cunha, Fabio Scalco Dias, Luis Fernando Mello
Abstract:
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.
Submitted September 29, 2011. Published October 19, 2011.
Math Subject Classifications: 34C40, 34C15, 34C60, 34C25.
Key Words: Center; center manifold; invariant algebraic surface;
quadratic system.
Show me the PDF file (262 KB),
TEX file, and other files for this article.
 |
Warley Ferreira da Cunha
Instituto de Ciências Exatas,
Universidade Federal de Itajubá
Avenida BPS 1303, Pinheirinho, CEP 37.500-903
Itajubá, MG, Brazil
email: warleycunha@unifei.edu.br
|
|---|
 |
Fabio Scalco Dias
Instituto de Ciências Exatas,
Universidade Federal de Itajubá
Avenida BPS 1303, Pinheirinho, CEP 37.500-903
Itajubá, MG, Brazil
email: scalco@unifei.edu.br
|
|---|
 |
Luis Fernando Mello
Instituto de Ciências Exatas,
Universidade Federal de Itajubá
Avenida BPS 1303, Pinheirinho, CEP 37.500-903
Itajubá, MG, Brazil
Tel: 00-55-35-36291217, Fax: 00-55-35-36291140
email: lfmelo@unifei.edu.br
|
|---|
Return to the EJDE web page