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.
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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 |
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